Ooh, the picture aid is helpful, thank you!
I like half-sleeves to full length, but I'll wear most sleeve types. I don't mind no sleeves if there are thin straps, but I don't like thicker straps (like many tank tops) or no straps at all (e.g., tube top).
From the picture, I like cuffed shirt sleeves, bat-wing sleeves, puffed sleeves, 3/4 sleeves, butterfly sleeves, and raglan sleeves. They're all types I've bought before!
The sleeves I don't like are cap sleeves and slit sleeves. The "floofy" sleeves, like the poet sleeve and cape sleeve, I love the idea of, but any time I've tried them on, I haven't liked the look!