All '92-'93 Integras have a YS1. Here are the GSR vs. non-GSR YS1 ratios (according to http://ff-squad.com/Bgears.htm):

1st - 3.307; 3.230
2nd - 2.105; 1.900
3rd - 1.459; 1.269
4th - 1.107; 0.966
5th - 0.875; 0.742
FD - 4.400; 4.266

I had a '92 GSR...cruising on the highway in 5th um, shall we say, takes some getting used to. 80 mph is 4600 RPM.

Just keep your LS tranny. The couple of tenths you might gain from switching to a GSR tranny could be bought for less money than an entire transmission.

Incidentally, the JDM S1 and J1 cable transmissions have identical gearing to the later hydraulic Type-R transmission, just with no LSD. They're from the '90-'91 JDM Integra RSi and XSi. However the '90-'91 transmissions use a smaller clutch. If you want both short (although not "ITR spec" or whatever) gearing and factory LSD, the YS1 that was in the '92-'93 JDM Integra RSi and XSi has the same gearing as the '92-'93 GSR and an optional LSD.

Still, stick with the tranny you got and work on other things.