It's not that professional movie critics have no sense of what people like, it's that they're looking at things from an entirely different perspective than general viewing audiences and they frankly should NEVER have become the trusted arbiters of movie quality by the general public. Some of them have very highbrow and artistic lenses, others are snobs about specific genres, many of them add or subtract points based on political ideology nonsense, etc. Average scores among critics are absolute ass for this reason. The only not-terrible way to make use of reviewer scores is to find a few of them you tend to generally agree with and check their reviews for whatever movies you aren't sure about to make up your mind about watching it or not.
Anyway, my little rant aside, I can think of a handful of movies that I liked a lot more than reviewers tended to like them.
American History X is perhaps my favorite movie of all time, definitely up in the top 3, but it got a resounding "meh" from reviewers. Fight Club also got just OK reviews, but I'd toss that one in my top 10 probably.
Reviewers in general didn't seem to care for Super Troopers, but it's my favorite comedy movie. Similar goes for Dogma: lukewarm reviews, but I love it. I've noticed professional reviewers just don't really like comedy that goes for dumb or crass jokes, but I enjoy a lot of them.
Oh, and on the flip side, reviewers tended to praise the 2005 The Lion, The Witch, and The Wardrobe movie, but I thought it was pretty bland and boring. I also recall being convinced to go watch The Blair Witch Project in theaters back when I was kid because the reviews said it was very good, but holy crap that was such a waste of my very limited allowance money.