Yes, OBD2 has another oxygen sensor. That's not where the name comes from though.

An OBD2 B18B (LS motor) will bolt in without much fuss to the hatch. You can either rewire the car to OBD2, or get a '94-'95 Integra ECU and plug it right in. Check out http://tech.hybridgarage.com/ for more detailed info on what is involved in doing the swap.