Ben Tianavaig is a lovely walk from the Braes just south of Portree. Magnificent views of Trotternish, Portree and the Cuillins. We got stuck in a rainstorm which all of a sudden cleared and we saw a Sea Eagle harrassing a Golden Eagle before its partner appeared and chased the Sea Eagle away.
Old Man of Storr is a nice walk too, although they have de-forested a lot of it. Go just to witness the crazy things people wear going up to the Old Man and the Needle...
Agree with the Quiraing, that one is stunning!! There is a small bit about 15 minutes into the walk if you do the WH route in reverse as we did where you have to scramble down and up some rocks (which will be near the end of the walk using WH's route description), but its fairly easy to do. Head up to the trig point on Meall a' Suiramach and you'll be rewarded on a clear day with some of the finest views of the Western Isles.
There's also Rubha Huinish further up the Flodigarry road where you can see whales (or submarines!!) from. Fairy Pools down Glenbrittle way is stunning and the Coral Beach near Dunvegan Castle is a pleasant wander too.