If your motor is a b16a1 then it has either a y1 or an S1/J1. If you tell me your speed in fifth gear at 4500rpms I could tell you which tranny you have.
Here are the trannys that will work:
y1 89-91 crx/civic sir tranny JDM only
S1/J1 9?-93 integra xsi tranny JDM only
ys1 92-93 usdm gsr tranny (good since it can be rebuilt)
90-93 usdm ls tranny (gear ratios are not good for N/A)
A J1 tranny would work well. It is geared very tight (same as usdm type r and pre 98 jdm type r) but it CANNOT be rebuilt using usdm parts.
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Don't bother giving me "rep", I won't return it and I think it is stupid.
Gracie Barra Clearwater

Gyms in Clearwater, St. Pete and Port Richey
pm me if you are interested in trying a free class at any of the gyms.