the V8 was the LT1 engine, but the 93-97 body style is referred to as the "LT1" body, and the 98-02 is the "LS1" body; after the v8s that came in them.
The 3.8 was the L36.
The 5.7 LT4 was installed on some select 97 Firehawks and Camaro SS 6-speeds. Wikipedia claims that it was 106 camaros and 29 Firehawks, but there isn't any sort of citation for this claim. Suffice to say, an LT4 4th gen is a rare find.
The 6.2 LT4 was introduced about 4 years ago for the corvette and is on the current Camaro ZL1.
1996 Firebird 3800 Series II, T5 swap RIP 3-31-11
It lives on: Engine and trans from ^ are now in v
1996 Firebird 3800 Series II, T5