hlutzow said: You could get an epiphyllum, tropical vining cacti. You could also check out the rhipsalis or the holiday cacti, Schlumbergera. All of these actually prefer a bit of neglect.
Jasmine might also be a nice addition. Trachelosperma jasminioides, vining Star Jasmine, can be a bit large, though. Something called Asiatic Jasmine is used as a ground cover here, but it works nicely as a hanging/vining plant and it doesn't mind some bright indoor conditions. There's even variegated versions.
You might also like Hoya. Some varieties need consistently moist soil and others prefer more neglect. Krimson Princess is an easy plant and it has absolutely beautiful leaves. It also doesn't mind a bit of neglect and cuttings root ridiculously easy.