These tend to occur in the big cats... When they get too old to catch their preferred meals, or humans have destroyed the ecosystem so that there aren't enough of their preferred meals, humans are easier to catch. I don't think they like how we taste, so much as they like how easy we are to kill. But yes, those need to be killed, because they won't stop going after people. It's pretty rare, though.
A fun side note from history. Black bears (the cute, cuddly ones that eat berries) used to attack people. Apparently, at some point enough of them got shot that the entire species gave up on attacking people (unless provoked). Brown bears also got this message, but decided they'd kill enough people that the people would give up on attacking them. (People just ran the bears out of town, instead, by taking their forests.) The author of "A Walk in the Woods" talks about this at length, since he was hiking the Appalachian trail that covers much of the East Coast of the US.