- Wipeout HD/Fury can be played using RPCS3
- 2048 can be played using vita3k
- Original/2097/3 can be played using any PSX emulator
There is also BallisticNG, which replicates the various flight physics of the various titles 1 to 1 (excluding Fusion), and faithfully recreates the PS1 aesthetic (right down to the polygons jiggling, if you want that). It has mods, custom tracks, crafts and campaigns. If the old graphics style does it for you, it's basically endless wipeout content.
It's insanely amazing on the deck. I recommend binding the back buttons to discard/use pickups, so you never have to move your thumb off throttle.
Other titles worth mentioning are both Redout games. They have an immaculate sense of speed, though have quite different gameplay systems and track design. (No weapons, strafing replaces air breaks)