I've been a TPM apologist for years.
I like it the most of the three prequels. To my eye, they just get more and more unfocused as the trilogy goes on. TPM, at least, is the most cohesive film by going after kids in a way the other five films (so far) did not. It was more or less told from a 10-year old's perspective, and is a ten year old's version of a good story. The political stuff doesn't make any sense because politics elude the juvenile mind. When the Clone Wars movie came out I liked it better than AOTC and ROTS for exactly the same reason. They tried too hard and failed. TPM does not strain to be more than a fun kids movie.
JarJar's speech to me was always a fun little bit...I was studying linguistics at the time and appreciated a periphery species speaking a pidgin form of the common language, it rung true for me (at least until JarJar said "Exsqueeze me." Yeah, some of it was rough to take.)
I think what "ruined" the prequels for me was comparing them to the Lord of the Rings trilogy that came out along with the latter two. Star Wars paled in every form of comparison. TPM squeaked out of that comparison a little because it really stood by itself as a kid's film. (And I guess I never warmed up to the Hobbit movies like I could've because I always felt that should have been handled more as a kids movie than trying to out-epic LOTR...but that's a discussion for elsewhere.)
All that being said, I would love a new version of the prequels with all the things mentioned above to tweak the story and tie the overall storyline together better. Or, you know, just to watch this new trilogy and see where the story goes.