I seem to recall a Terminator knockoff called Nemesis or something like that. The first and second movie, I think were pretty decent, but, the 3rd and 4th one descended into softcore porn.
I certainly share your opinion of T4, but T3 was nothing but a remake of T2 with the ending reversed. It wasn't bad, it had just been made already 12 years earlier.
And done much better the first time around.