Not many that will look like a weeping willow!! Maybe a willow leaf pear (Pyrus salicifolia 'Pendula') or weeping pittosporum, Pittosporum angustifolia. Other possibilities are weeping bottlebrush (Callistemon viminalis), a weeping mulberry or a Japanese maple but almost all weeping forms are also dwarfs.

Mayten tree?

I’ve seen very pretty mayten trees in golden gate park

You could look at Cercidiphyllum japonicum var. pendulum. Not sure if it would be suitable in your region. I have a weeping Birch, Betula pendula subsp. pendula 'Youngii' but again, not sure if it would be happy where you are.

zone alone isnt very descriptive of where you are.. or what the ambient weather is ... all it indicates is the low temperature forecasted on the coldest day of winter.. and not much else.. heck you could be desert or bayou.. and that matters ...

how about a big city name

ken

I was thinking mayten as well. I'm using one to replace the pepper tree my landscape designer wouldn't let me get. :)

Ken, I am located very close to Riverside CA. I get lots of coastal fog and some rain where I am.

I actually have a mayten tree in our backyard. I didn’t mention that previously because mine is not a good example. When I saw it in golden gate park I just loved how it looked. So I planted a baby one in our yard but didn’t really plant it a good location. I don’t think mine will ever realize it’s true potential because my yard is too small and I just squished it in where i had space. But it now almost 20 years later it is providing privacy from the neighbors and the branches are now giving the weeping effect so it is pretty to sit under it in the hammock

View from the hammock

Oh yeah terrible example. Poor tree!

Just kidding! Looks like a lovely spot for the tree as well ass a hammock, S. Wang. Pretty!