It's difficult to compare the two films. The original (1942) was the B movie baby of director Val Lewton and RKO, who specialized in using Columbia's 3 Stooges trick of borrowing old sets before they were dismantled, and employing unknown actors that were good and CHEAP.
The general plots are the same, but of course, the remake, released in 1982 was more sexually graphic. Neither film actually shows anyone torn to pieces, but the implied violence is enough.
The beautiful and exotic Simone Simon (recently displayed in the Mystery Actor thread) was a pretty good choice for the Cat Girl, and Nastassja Kinski was just as good. Less exotic perhaps, but a good deal more enigmatic.
The remake was true to the title as there were two cat people people munchers. The first should have been titled Cat Person. The best thing to result from the original was Lewton's green light to make
I Walked with a Zombe a year later.
Zombie was a truly creepy film, and equally successful at the BO.
The 1982 CAT didn't fare as well, but was quite successful later as the timing of it's release was perfect for the VCR explosion.