The red body is a ZX-R body, the black and white body was made by Racecraft. Ike the Mid the Kyosho body has the gear cover sticking out of the body. Racecraft altered all their repro bodies, usually by adding air scoops but with the Lazer by adding a gear cover and smoothing out the sides of the nose. The buggy is a ZX-R Mk2, easily spotted by the top deck shape and the standard Mk2 shocks mounts that are fitted. The Mk2 has a longer top deck than a standard ZX or ZX-R, the battery slots are moved back in the chassis and it has a shorter motor mount and bridge over the motor as the top deck support in front of the motor is moved back. The chassis and motor bridge are clearly modern parts, so I presume the top deck has also been fitted recently.
Rare wheels. Those are HPI Super Stars 2.2 for Kyosho hex front and rear. It seems both bodies are reproductions but the way the body set up was that in the original, the "nose" and the body is mounted separately. Hence it is cut off. The chassis may have been ExoRC Lazer ZX conversion
Pretty sure the nice painted body is the official Kyosho body and the other one with the missing vents and the enclose gear cover is a Racecraft aftermarket one. I prefer the official. Also, the car you've got is actually a ZXRR or ZXR mk2. Which is why the gear cover doesn't quite fit, on the ZXRR/Mk2 the rear upper deck mount is moved closer to the motor so that the cells can be moved back for better weight distribution. It's a really nice car you've managed to pick up! :)