When I call a plant a perennial, I think of one that dies back to the ground each fall and returns happily for at least three years with little attention. Division, turning one plant into several, is often the attention needed. A few plants we call perennial are still rather short lived.
When asked for a perennial vine I come up empty unless we include woody plants. Examining the woody list, I find some that will eat your house, others with occasional problems and some that I really like.
Briefly, clematis can be a wonderful blooming machine if their demands are met. They want a warm body, cold feet and a soil with high ph. Also, if you get one, try to find out which of the three types it is so that you can prune it correctly. I'll quit before I easily fill the page about clematis.
One of my favorite vines is the native Carolina jasmine, Gelsemium sempervirens. It has good controlled vigor, is evergreen and profuse yellow flowers in May. If it has a fault, it blooms and then grows. For a few weeks after the blooms finish, the foliage looks winter tired before the new growth begins. I also think it is intolerant of excess water, but suspect that it will tolerate a wee bit of shade and sure it will handle lots of wind.
One of the old timers is the hydrangea vine. The literature suggests that they get large, but, after 10 years or so, I'm sure I won't live long enough to see if the one I planted will verify the literature.
An alternative is the false hydrangea, schizophragma hydrangeoides. I have tried at least three that are in the marketplace of which 'Roseum' is the best. My five year old on the north side of my house is about 10 feet tall and blooms wonderfully in early June. It's white with a hint of pink.
There is a huge selection of ornamental honeysuckle, Lonicera sempervirens, in the marketplace. There are lots of color options with this hummingbird magnet including yellow, pinks and reds. They are prone to have aphid problems in the early spring. Spray or patience while waiting for warmer weather will resolve this issue.
In the "eat your house" category is trumpet vine, akebia, Oriental wisteria and bittersweet. The native bittersweet is ok but is difficult to find and is always suspect because of hybridization with an Oriental introduction. Birds will scatter the seeds so it can be an invasive nuisance.
On the other hand, there is a great native wisteria called 'Amethyst'. It's about one third the size of its Oriental counterparts and is also a much better bloomer. One must join my garden, but I'll find a fence rather than the side of my house or deck. After 20 years it is still difficult to erase visions of its Oriental counterpart from my old house.
Hardy kiwi, Actinidia kolomikta, is another interesting possibility. It shows significant hints of white and pink in the foliage as the plant matures. The male also is reported to have the better color. If a male and female are planted together, one can get a small edible fruit.
Grapes can also serve effectively as an ornamental vine. Getting fruit, however, is rather difficult without regular fungicide applications.
Perennial vines??? Woody vines, certainly, and there should be a spot for one or more in most landscapes.