1998 was a pretty good year, too. A Bug's Life might be a weaker Pixar effort overall, but it's still quite good. Mulan is an upper tier Disney effort. And I'd completely forgotten about The Prince of Egypt, and that it was Dreamworks, which also had Antz as a not-great, but not terrible release.
I'm not sure about any great anime releases that year, though.
1997 had Perfect Blue (good, but still Satoshi Kon's weakest film) and Princess Mononoke, but Hercules is an... uneven Disney effort, to say the least. I suppose Anastasia isn't bad for something from another studio.