I would pick a wisteria. Although they grow fast they are not invasive, as in sending up shoots all over your garden. And if you are pruning it properly every year, it won't get out of control. You do need a very strong trellis system for a wisteria as they can pull down a weak one and make sure it doesn't grow under house siding or anything like that. The blooms are to die for! I have one I planted on an arbour on my little barn/studio. The arbour is built from old telephone poles and cemented into the ground. Now I'm just waiting for it to bloom. It's only been a couple years and wisteria can take a few years to begin blooming. It did have one tiny flower last FALL (!) so I know it knows how to flower!
Did you consider a honeysuckle vine? I have found them to be slower growing than the other mentioned vines and they have beautiful, long-lasting fragrant blooms that the hummingbirds love. I have a couple on an arbour built of old cedar rail fencing. They tend to get aphids though but I just spray them with Safers Soap.
Or what about a clematis...there are so many beautiful colours to chose from. Jackamanni gets huge purple blooms and grows quite large.

I second the clematis. Beautiful flowers, hardy, and not at all invasive.

A combination of vines would be pretty, and give an extended season of bloom. Different leaf shapes will also give long season interest. I have the following vines growing successfully in my garden -- don't be intimidated by the botanical names, they help to guarantee what you're looking for.
Honeysuckle (Lonicera japonica "Halliana" and L. perciclymenum "Late Dutch") - nice blooms & foliage

Dutchman's Pipe (Aristolochia durior) - beautiful foliage

Many varieties of Clematis are available, but for fast growth:
Clematis tangutica - yellow bell flowers and puffy seed heads
Clematis terniflora (Sweet Autumn Clematis) - white & fragrant

Wisteria is also lovely -- just takes a few years to bloom.

I would stay away from trumpet vine and silver lace vine both are too aggressive near a house -- they will take off your gutters and siding...

Good Luck!

I would go with Dutchman's pipe (native, not invasive, attracts pipevine swallowtail butterflies and their larvae)
Kentucky Wisteria (native, not invasive)

Japanes Wisterias are very invasive, and hard to keep ahead of!

I would avoid sweet autumn clematis (invasive, not native), trumpet vine(native, but quite a handfull!) and silver-lace vine(not native, invasive). JMO. April

Before we finally decided on our grapes for our pergola (Canadian grapes) we tried all sorts of things. We tried Bittersweet, invasive and even after you get rid of it, it still shows up in the lawn years later; virginia creeper, makes a mess with its flowers and berries raining down on he patio most of the summer; silver lace vine, not hardy in our area, dies down each winter, tanguicta, invasive, got ugly after a while; trumpet vine, too heavy for the pergola, it gets huge and it has a tendency to kill all other vines in the area. Now we have the grapes and climbing hydrangea, although the grapes are slowly eating the hydrangea, but that's okay too as the hydrangea just clims along the walls now.

We are trying chocolate vine now in a different area, it is a slow grower so far. What about kiwi?

They say a picture is worth a thousand words... :)
This is clematis Viola. It blooms for a big part of the summer and of course, is NOT invasive. Cut it back to 6" in early spring and watch it come to life. Next season this will be paired with a lighter blue clematis Prince Charles) for an even more dramatic effect. Wisteria is nice but often they go for years and don't bloom. I'm still waiting on mine after six years. :(
{{gwi:866070}}

Beautiful clemie pic, Sunny!...And this one blooms a big part of the summer?! -Grand! Just what I was looking for! Thanks for sharing.

Mine began in June...probably later on in June. You will be very impressed. Here's some info...

Here is a link that might be useful: Viola @ COTW

This may be stating the obvious, but since the grape vine is established, and taking one down can be a right royal P.I.T.A., why not just get on a ladder and cut off the grapes before they ripen??

Sunnyday...
Is there a Kiwi growing in with your clematis?

~Chills

Wisteria can take up to 50 years before it flowers unless you get the kind that have been grafted on. They also can be VERY invasive and can eventually get into your siding etc., depending on which ones you purchase. You may want to research this plant before deciding to purchase one or you could be disappointed.
A clematis would look very nice and less troublesome than some of the others you have mentioned.

O.K. I'm eating my words. I meant to type 5 years NOT 50, and it seems there are many different types so disreguard what I wrote.