All 94 and 95 B-series transmissions do not have a stamp to Identify. 96+ have a green vin tag on the front of the tranny next to the block code.
The S80 and Y80 markings dont mean a damn thing. I as well as just about everyone else on this site that has dealt with these trannies know that s80's came in 94-95 Rs,Gs,Ls, Gsr and Type R's. Y80's came in 94-95 Rs,Gs,Ls,Gsr, and Type R's.
I have had two 95 gsr's, one with an S80 stamp and one with a Y80 stamp......both the exact same tranmission.
I have also had/swapped many Ls trannies of the 94-95 years......both with Y80's and S80's......again same transmission.
As previously stated you can drive the car and tell which tranny is has by the speed and rpm's.
96+ Trannies have the green vin tag on them, the 4-6th letter/number state what chassis the original part is from. For example
JH4DC2XXXXXXXXXXX tells you that the tranny/part came out of a 96-2001 Integra Gsr
JH4DC4xxxxxxxxxxx tells you that the tranny/part came out of a 96-2001 Gs,Rs,Ls 2 door.......I could go on with this forever, but you need to search and learn all the chassis codes.
I dont think it has been mentioned but JDM tranny's do not have the vin tags.
The only factory equipped transmissions with LSD are Type R Trannies. They are stamped on the casing