Since I only played the two on SNES, I'll comment on those only. Would love to hear your opinions on whichever JP games you've played over the years.
So I been playing a lot of JP1 and 2 lately thanks to Jurassic World coming out last month. It was my first time playing either game ever, after wanting to play them for 20+ years.
JP1 seems to be very much a "loathe or like" kind of game. It's wide open, confusing (without a FAQ especially), pretty tough, no saves, and the interior sections are clunky. I kind of hated it at first but after looking through some FAQs and having a sense of what to do, the game's become more enjoyable. It's still heavily flawed, but it's not terrible by any means (particularly for a movie game).
I probably would have enjoyed it more in 1993. It's harder playing the interior today than I imagine it would have been 22 years ago when it would have felt more "cutting edge."
As for JP2 I'm a fan. Much superior game IMO and love how it plays a bit like Contra. Super tough though, and again, no passwords means it's a bitch to complete. But once you get enemy placement down and what weapons to use, it's quite fun. It's also got a 2 player co-op mode which instantly brings it up a notch in my book.