I think I'm legally obligated to say oak on account of being a dryad. I like those massive redwoods, and cherry blossoms are pretty but the fact that the cherries are inedible is just kind of fucked up.
On that note I think I'd have to go with plum trees for the fruits. I like pines just cause their needles smell good.
im a huge fan of moreton bay fig trees, native to a*stralia
they grow massive and old with huge sweeping canopies of beautiful dense leaves, and massive protruding root networks that make them look gnarled and ancient, theyre just majestic as hell. like theyre what i would imagine a world-tree would be like. pretty much the only good thing that settler colonialists did in this country was plant a whole bunch of these that have now grown to immense sizes around sydney (the trees themselves are natives, not a br*tish import btw).
Forget climbing, you can go on a whole adventure in that beast. Top tier tree right there, good choice