Like most vines used for bonsai, the issue is finding a "trunk".
If you can find a segment of trunk of sufficient caliper to make a convincing "tree", it is worth working with.
If you start with a slender cutting, or seed, you will have to let it grow to great lengths to get it to "trunk up". Then you will have to cut back. The cycles of grow out and cut back can take years or even decades. The preferred method is to find mature trunks ready to style into bonsai, well worth the price.
Vines which can work for bonsai include:
Hedera - Ivy
Vitis - Grape
Actinidia - Kiwifruit - all species, both the hardy and the culinary
Passiflora - passionfruit - some are more woody than others, flowers are spectacular for some, insignificant for others. Passiflora subarosa has thick corky bark, but insignificant greenish flowers. Passiflora edulis has spectacular flowers, as do many of the tropicals. Passiflora incarnata is winter hardy through zone 6, and has showy flowers.
Lonicera - Honeysuckle - Lonicera japonica is a vine, some of the others are shrubs. If you can find a trunk to collect, that is the way to go. Lonicera caerulea is the culinary haskap, a tasty blue fruit.
Fuchsia - Fuchsia are pretty flowering subtropical garden plants, some are vine like, some are shrubs, most as they age become woody. New growth is tender the first year, but becomes woody the second or third year.
There are many other good vines for bonsai, but my brain is drawing a blank. Anyone?