Willow has medicinal properties, and if you find a nice piece, or even a large straight bark covered root, you can make a pretty good wooden weapon.
Hazel is a very pretty wood, and also quite hard, good for musical instruments (but I'd prefer using pearwood).
Yew is poisonous, so it must have some use in that context, it's also meant to be a good carving wood. Red and white oak are commonly used for making bokkens and bo/hanbo. Hmmm, don't know many more, really.
Oh, and lets not forget the humble stinging nettle! (not a tree, but still). You can boil it and then drink the tea, it helps your body absorb calcium. You can make quite nice chordage out of it (I want to make a nettle sling, that'd be one braggable little thing!).

I wish we had more hazel in the states - it's a very useful plants, the nuts are pretty tasty.

Knife handles. The nordic knives uses curvy birch for some of there handles, and i don't see why you couldn't use any of those woods for handles.

The thing about knife and sword handles is that the wood must not pulp under torque (like most pine type wood will). Curly maple and yew make a good handle, so does oak and hazel...rattan and pine eventually give you a floating tang :/.

Ash is a little more difficult to carve than most woods (nowhere near as hard to carve as beech, which is very fine grain, or yew, which is just curvy and unpredictable).  But it is very useful.