Flash Shift
Mega Poster
I couldn't find anything similar to this in the search. There's been a fair few threads about the first coaster with an inversion or inversions that you've been on, but what about the first instance of each inversion you've done? So first loop, dive loop, zero-g roll etc. I'll start to give you the general idea - many of these are from RCDB and are pretty specific so they might feel weird or incorrect.
Vertical Loop: Klondike, Drayton Manor
Zero-G Roll: Shockwave, Drayton Manor (go figure that it was a one of a kind one!)
Corkscrew: Shockwave, Drayton Manor
Inline Twist: Air, Alton Towers (I guess you could add the fly to lie and lie to fly here)
Cobra Roll: Colossus, Thorpe Park
Bent Cuban 8: G-Force, Drayton Manor - nice and overly specific
Dive Loop: Saw, Thorpe Park
Immleman: Saw, Thorpe Park
Dive Drop: Swarm, Thorpe Park
Inclined Loop: Swarm, Thorpe Park (debateable as an inversion)
Norweigan Loop: Speeed Monster, Tusenfryd
Sea Serpent Roll: Smiler, Alton Towers
Batwing: Smiler, Alton Towers (debateable)
Sidewinder: Infusion, Blackpool
Rollover: Infusion, Blackpool
Inverted Top Hat: Helix, Liseberg
Zero-G Winder: Taiga, Linnanmaki
Zero-G Stall: Taiga, Linnanmaki (RCDB calls this a Dive Loop, but I'd say it's definitely a stall)
Vertical Loop: Klondike, Drayton Manor
Zero-G Roll: Shockwave, Drayton Manor (go figure that it was a one of a kind one!)
Corkscrew: Shockwave, Drayton Manor
Inline Twist: Air, Alton Towers (I guess you could add the fly to lie and lie to fly here)
Cobra Roll: Colossus, Thorpe Park
Bent Cuban 8: G-Force, Drayton Manor - nice and overly specific
Dive Loop: Saw, Thorpe Park
Immleman: Saw, Thorpe Park
Dive Drop: Swarm, Thorpe Park
Inclined Loop: Swarm, Thorpe Park (debateable as an inversion)
Norweigan Loop: Speeed Monster, Tusenfryd
Sea Serpent Roll: Smiler, Alton Towers
Batwing: Smiler, Alton Towers (debateable)
Sidewinder: Infusion, Blackpool
Rollover: Infusion, Blackpool
Inverted Top Hat: Helix, Liseberg
Zero-G Winder: Taiga, Linnanmaki
Zero-G Stall: Taiga, Linnanmaki (RCDB calls this a Dive Loop, but I'd say it's definitely a stall)