The blood lobster quest requires A Hero’s Ride to be completed. Then, at any point after completing chapter 3, you can approach the stuffed lobster along the edge of the outside of Outfitter’s Test Hangar to start the quest.
The first 44 are available immediately after accepting the quest. 4 more become available after chapter 5, on the Ma-non ship. After collecting the first 48, the 49th will appear in the southwestern commercial district and will trigger a scene when collected, prompting the next 48 to become available. A few of those absolutely require Skells to reach, while two require the flight module to reach.
The order I have them listed is not the required order to collect them in, I’ve simply ordered them in an easy to understand sequence based on their locations.
Lobster 1: Directly east of where the quest starts, on the unfinished road pointing south
Lobster 2: Within the Outfitter’s Test Hangar, on a platform near Alan
Lobster 3: Atop the diner northeast of the test hangar, where Frye usually hangs out
Lobster 4: Sitting on top of the building just north of the Plant, near where Roscoe is
Lobster 5: On top of the shipping containers near the helicopter/pilot
Lobster 6: On top of one of the platforms northeast of the west gate. You can jump and snag it from the shipping containers nearby, or leap onto the platform from above(see Lobster 9)
Lobster 7: On some crates near the elevator at the west gate, that you descended with Elma earlier
Lobster 8: Riding the elevator up, you’ll find this lobster on the elevator shaft at the top
Lobster 9: From the top of the elevator, head along the upper rim of the city to the south
Then leap onto the top of the Plant roof from here
and collect this next lobster
Lobster 10: On the unfinished road in the southeast section of the district, by Boze’s hangout
Lobster 11: Just northeast of Lobster 10, behind some crates by the building
Lobsters 12 & 13: Leap down into the water from the previous lobsters to reach these next two
Lobster 12 sits on the upper right circular platform thing, while Lobster 13 can be reached by climbing the pipework nearby, and dropping from the platform above
Lobster 14: Back in the city, behind some cars northeast of North Founders Street landmark
Lobster 15: Just east of Lobster 14, between the two roof structures on top of this building
Lobster 16: Moving north, this lobster sits behind a tree east of Barista Court
Lobster 17: Sitting in some bushes in Barista Court
Lobster 18: Sitting on top of a semi-enclosed roof west of Barista Court. You can use the thin wall below to jump up here, or climb the lower buildings nearby and jump from those.
Lobster 19: In some bushes south of the buildings in the far northeast corner of the district
Lobster 20: East of Lobster 19, on the ledge past the barricade all the way northeast
Lobster 21: On some crates in the northern part of the Hangar
Lobster 22: On the Skell maintenance dock near Camber/whoever
Lobster 23: Right behind the fence where Doug hangs out
Lobster 24: Head across the road from the Hangar entrance and climb the large protrusion up to this Lobster
Lobster 25: Continue ascending from Lobster 24, and this lobster is sitting on top of a crane near where Mia stood for her first mission. You can climb it easily.
Lobster 26: South of Lobster 25, sitting on the bars stretching across some mesh grating
Lobster 27: On Division Drive, this lobster sits on top of a beam above the Mediators section
Lobster 28: On top of the ‘roof’ west of the two shop terminals
Lobster 29: To the left(north) of the BLADE Tower entrance, on a ledge
Lobster 30: Southeast of the BLADE Tower entrance, perched on a ledge overlooking the Residential District
Lobster 31: Up the left stairs behind the Mission Control board at the BLADE Concourse
Lobster 32: Above the entrance to the BLADE Barracks. You can reach it by hugging the wall above these stairs
Lobster 33: South of the BLADE Tower entrance, tucked away on some piping. You can jump to the platform below here to reach it more easily
Lobster 34: In the circular bit of sidewalk south of the cathedral
Lobster 35: Near some cars along the road stretching along the south edge of the district
Lobster 36: In the garage of the house with the pool with Wilbur and Pepper, across the road to the east from the tennis courts
Lobster 37: By the unfinished road at the southeast corner of the district
Lobster 38: On top of the large crane next to Phog’s hangout. You can jump onto it from the shipping containers nearby, and ascend the sloped sections
Hug the cable on the sloped mechanism indicated near the bottom half of the image to climb it, and leap across to the upper crane section from there
Once you’ve reached the upper section, be careful not to fall through the gaps, and climb up the thin strip. Hug the cable once again as you near the top so you don’t fall
Lobster 39: Near the unfinished road at the northwest corner of the district
Lobster 40: On top of this brown-roofed house across the road southwest from the cathedral
Lobster 41: In the backyard of the house just north of the tennis courts
Lobster 42: On top of the slanted structure at the Water Purification Plant northwest of the cathedral
Lobster 43: On top of a structure in the waters below the Water Purification Plant. You can climb the slanted sections on its sides
Lobster 44: Below the northwestern section of the district, on the large platform at water level
Lobster 45: On the outer hull of the ship, behind the teleporter from the BLADE Tower
Lobster 46: On the weird flowery thing in the middle of the Starboard section of the ship. It’s kind of annoying to jump to
Lobsters 47 & 48: Near the back of the Starboard section, one on the platform with the green circle and one near the far wall
Lobster 49: This lobster will not appear until you’ve collected the previous 48. Collecting it will trigger a scene, then make the last 48 lobsters available for collecting.
Lobster 50: In the Outfitter’s Test Hangar, on a platform near a knelt Skell
Lobster 51: On the outer ledge of the southwest corner of the Outfitter’s Test Hangar
Lobster 52: Across the street from the diner that Frye hangs out at
Lobster 53: On one of the pillars near the Plant. You can jump onto the door from the truck, then up the ledge to the pillar top.
Lobster 54: Between two crates by the helicopter behind Roscoe, near the west gate.
Lobster 55 & Lobster 56: Under a construction skell and on top of some crates near the west gate
Lobster 57: Behind Professor B’s shack
Lobster 58: Below the elevator at the west gate
Lobster 59: At the top of the west gate elevator, in the passageway you walked through in the prologue
Lobster 60: On the street south of the district that runs east-west
Lobster 61: On the staircase accessible from the road the previous lobster was on. Moorehouse is near the top before you do the Celeste Three mission
Lobster 62: On one of the round things in the water in the middle of NLA
Lobster 63: Between two black trucks near Boze’s hangout(and near lobster 49)
Lobster 64: On an unfinished bit of road in the southeast corner of the district. You can fall past it from the thin walkway above to collect it
Lobster 65: In the parking lot behind Army Pizza
Lobster 66: Sitting on a bench next to Cheche on the main road
Lobster 67: Between two buildings, near Victoria’s store
Lobster 68: Sitting on a ledge northwest of the two tall buildings in the northeast section of the district
Lobster 69: Between two yellow trucks in the northeast section of the district
Lobster 70: On top of one of the tall buildings in the northeast section of the district. Requires a skell to reach
Lobster 71: At the northern end of the Hangar
Lobster 72: In Yardley’s hideout below the Hangar(at water level)
Lobster 73: Near the elevator leading from the Residential District to the BLADE Tower
Lobster 74: Near the upper landing of the elevator connecting the BLADE Tower to the Residential District
Lobster 75: Under a helicopter in front of the BLADE Tower
Lobster 76: North of the BLADE Tower, behind some boxes in the openish area past Armory Alley
Lobster 77: On a ledge above the Harriers booth at the north end of Division Drive. Requires a skell to reach
Lobster 78: On a ledge above the Arms Manufacturer building at the east end of Armory Alley
Lobster 79: On another ledge on the Arms Manufacturer building, higher above Lobster 78. Requires a skell to reach
Lobster 80: At the end of the east gate, near Thomas
Lobster 81: On the connecting bridge between the BLADE Tower and the building south of it. Requires a skell to reach
Lobster 82: Second floor of the Curators booth at the southern end of Division Drive, above the Murderess’ hangout
Lobster 83: Between the building south of the BLADE Tower and some fencing, southwest of the Mimeosome Maintenance Center
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Lobster 84: On top of a building north[?] of the BLADE Tower. Requires the flight module to reach
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Lobster 85: On top of the BLADE Tower. Requires the flight module to reach
Lobster 86: In the cathedral’s belltower. Requires a skell to reach
Lobster 87: Slamming and jamming at the b-ball court south of the cathedral.
Lobster 88: Between some crates in the southwest corner of the district
Lobster 89: On the balcony of a house north of the tennis courts/south of the park
Lobster 90: On a table in a backyard west of the cathedral
Lobster 91: Below the northwest section of the district on a platform at water level
Lobster 92: On a platform above Lobster 91
Lobster 93: On the section of the hull overlooking the teleporter from the BLADE Tower
Lobster 94: In the upper section of the starboard side. You have to make an awkward jump from this pod to collect it
Lobster 95: In the upper section of the port side. You can jump from the ledge nearby to collect it
Lobster 96: On the bottom section of the port side, behind some boxes
Lobster 97: On the bottom section of the port side, below the ledge with the green circle
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Lobster 98: Behind some crates in the Mediators booth in Division Drive. Collecting this lobster will trigger another cutscene, prompting the discovery of the 99th lobster. Then some other stuff happens and you have to go to a cave in Cauldros. You might need to have completed some other quests to get inside though.