What kind of transmission fits a 95' cutlass supreme?
The GM 4T60-E is the stock transmission on the 95 Cutlass Supreme.
By the sound of it non performance trans. in this year tried to use the less as what is possible(if that makes sense) trans. witch SP. gears available usually a 3 or 4 speed auto (since you didnt specify if it was an auto or manual) you can do a search on google to make sure the specifications on it are correct hope this helps!!!
It sounds as though your safety neutral switch has to be adjusted. It has an adjustment kind of like screw that you can adjust. I suggest having someone that knows what they are looking for on it to do it. I had my safety neutral switch replaced and it did the same thing until I took it back and they re-adjusted it.