BABIP is probably the most obvious for hitters. Example would be Carl Crawford isn't going to have .195 BABIP all year so he's going to improve, while there's no way Matt Holliday will keep that .492 BABIP (what that basically means is every other ball he puts in play is going for a hit, that won't last) so he'll decline. Another good one to look at is strikeout/walk rate. A good example for this is Jed Lowrie. He was outstanding in April, but he had a way inflated BABIP, with a high strikeout (16%) and low walk (4%) rates and we're already seeing him come back to earth fast.
As for pitchers, FIP takes defense out of the equation for measuring a pitcher, so if they have a a really high ERA but low FIP, their ERA is likely to drop. You can also looking at swinging strike rate in the same way.
Of course none of it's perfect but it's better than nothing.