It’s no secret that the first-gen suspension is mushy and leaves much to be desired. The aftermarket suspension for the 84-87 CRX leaves much to be desired as well, so you may think your options end there.
You’d be dead wrong! You simply need to get a little creative with a hybrid setup. First-gen Integra parts are still commonplace as well as third-gen Civic parts. The second-gen CRX stole the first-gen’s fire, so to speak.
A full rear end can be used from the Integra, which gives the added bonus of rear disks (unless you race heavily, the only difference you’ll notice is the ease of maintenance). The front end of the first-generation CRX is respectable, but the rear really needs lots of suspension love. Focus on stiffening the rear with a strut bar and upgraded sway bar, and if your budget allows, move on to springs and struts.
If possible, search for a full set of matched coilovers or a kit that includes struts. Remember to drive safely, and keep speed on the track.