less about shocks, because it's all opinion, and more about springs.. this is my first post, and i know a good deal about suspension, but crx's are new for me, so, what springs give a good drop, i'd say 1.5" all around, decent ride, but are stiff enough for track duty.
Shocks are not *just* about opinion. I think you would be hard pressed to find someone that wouldn't take Konis over Illuminas or AGX, there is a reason for that.
You aren't going to get a stiff, track-worthy shock AND a good ride, it doesn't work that way. You need to decide what your priorities are, and set the car up accordingly. I will ALWAYS recommend getting Ground Controls, since they aren't that much more expensive, and you will never be unhappy with the ride height. You can also get the spring rates you want, or just take the off-the shelf rates.
Off the shelf GCs come with Eibach, 350/250 lb/in front/rear rates. Personally I switch the front and rear springs to make the rear rotate better. Stock CRX springs are 250/150, so that leaves the front pretty stock soft. This is an ok setup, I had it on my last car, but now I'm running 550/650 F/R. My current setup also has poly bushings, and to most people it's pretty punishing on the street. Once you get used to a smooth setup it's no problem, but every time I get in my old car (owned by a friend of mine) I feel like I'm in a Cadillac.
If you really don't want GCs, then there are some good options for regular springs, but as far as I know you aren't going to get track-stiff rates.
Eibach sportlines are failry popular, give a decent drop, and are moderately stiff. Jmart has them paired with Illuminas, and Stef is running Matt's old set on the HF/Si. The rates are 450/174-257 (progressive) F/R. The problem with them is that since the rears are not the same as the front (they are progressive) you can't swap the front and rear springs. Prokits are popular for street use, with rates of 331/125-195 F/R, more for cosmetic use in my opinion.
H&R and Neuspeed both offer "Sport" and "Race" springs, which as far as I know are the same (NS Sport = HR Sport, NS Race = HR Race). I am not positive, but I believe sports are 275/225 and race are 575/450 (taken from an old article on the Resource). I know a couple people running the "Race" springs on daily/autoX cars and they are very happy with them. These also are progressive in the rear. I've noticed a lot of EFs that sit high with HR Race, I don't know the reason.
You should attend a local autocross, you're sure to see plenty of CRXs and hatches there. Ask to take rides in cars with different setups and see what you like. What kind of track racing are you planning on doing?