Since I'm bored, and you need to know, I'll give you all the details.
Short-Ram Intake - Often found on Ebay for tiny prices, intakes are basically a short length of tubing extending to where the stock airbox would be. Made of either Stainless steel (as in AEM, and Injen applications), or mild steel (cheapo Ebay intakes), these are a good base upgrade and are realatively inexpensive. Good for semi-wet climates, as they do not protrude into the fenderwell. Warm engine bay air is inhaled as a result, so power gains are not always as high.
Cold-Air Intake, CAI - Basically a short-ram with an extension that puts the filter element inside the front fender well - therefore escaping the heat of the engine bay. Longer tube allows for a little more velocity, and resonation. Currently the best one on the market is the new AEM V2 intake, as it uses a tapered tube to increase air velocity. Gains as much as 9whp have been recorded on some Hondas. Cheapo Ebay CAI's are okay, but you get what you pay for, and the filters are cheap, and the piping will often corrode, or rust.
As far as intakes go, theres no real other "types" of intakes that I know of. Iceman and Comptech make some chambered box-style intakes that grab air from the fender well and route it to the engine bay, and there are the expensive and exotic JDM intakes by ARC, HKS, and C's Racing. My advice, go with an AEM Hybrid intake. They're designed for a CRX with a B series, and are good quality.