They sure do. And mine got eaten up by bugs. Pulled them out...
Many people like the native passion vine, and it is a host plant for the gulf fritillary, that will eat it to the ground - but it will still come back strong.
http://davesgarden.com/guides/...
I have had Dolichos lablab, or Hyacinth Bean Vine, for years, and I wouldn't be without it. I just love it!
http://davesgarden.com/guides/... It blooms all summer and fall, and the blooms are followed by pretty purple pea pods. The leaves are dark green on top, with purple veins to match the flowers, and purple on the bottom side. It winds around itself and its support, and is not overly aggressive. It is an annual, so you will need to remove the dead vine after it freezes, before the beans that have fallen to the ground germinate and begin the new vine for the year. I always save beans to give to friends, and just in case it doesn't reappear on its own. But it always has.
Another vine I have is Antigonon leptopus (Coral Vine)
http://davesgarden.com/guides/.... It is perennial and has tiny tendrils that reach out and clasp to wind its way up. It blooms in the fall, and is beautiful in full bloom.
Another I have had is Thunbergia grandiflora. A little too aggressive for me, it wound up the too flimsy trellis quickly and took over the roof. But it is beautiful!
http://www.floridata.com/ref/T...
Notice how many times I went to DG for info and photos? Still the greatest gardening spot on the Internet.