Oranges and Lemons will bloom all summer. The Delbards that I have are good too but they're hard to find. I have Grimaldi and Edgar Degas and the rebloom on them is great.

The warning that should go with Oranges and Lemons is that it gets very large (think small climber) and the color is very bright when it first opens. It fades to more of a pastel yellow and pink, but it does open as a very bright orange and yellow. I like it but many people don't.

I am trying to root six Red Intuitions that I got for Mother's Day. They have been in the pots about 1 week and are going gangbusters with new shoots. I don't have a clue as to the chances for success, but that may be an option if you want a Delbard. I understand that they are virtually impossible to get from the nurseries ...

Grimaldi is good. Orangey stripe.

Alfred Sisley is good. Burn rust stripe.

Mockin' Bird is excellent on rebloom. Red stripe.

Fourth of July (climber) is good. Red stripe.

George Burns, Claude Monet, Modern Magic, all very good rebloom. Scentimental was the only stripey I had with poor rebloom. Purple Tiger has excellent rebloom but the plant is not vigorous.

Scentimental has been a good rebloomer for me and is a HUGE bush. Oranges and Lemons hasn't done as well. Maybe because it was partly shaded by a tree we just removed so hopefully will do better. I love the stripes on both.
Clare

I like Scentimental, too. It is a huge bush, but it does blackspot in my garden badly if not sprayed. It is one of the first to suffer if my spray program goes awry. The other drawback is that the blooms blow quickly, but there are constantly new ones coming on, so the bush is never without flower. The big plus, for me, besides being striped, is that it is highly fragrant.

You might also try Tropical Sunset, and Cabana. They are both salmon/yellow stripes.

Grimaldi is a good bloomer.
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Here is Rainbow, a Tea.
It is not technically a stripe but splashes of color are gorgeous.
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Careless Love is also nice.
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Carla

Abracadabra blooms pretty consistently, but the striped that blooms the best for me is Rainbow Niagra. It was new last year, got to about 6 feet in height, and bloomed throughout the summer and fall.

Here is a link that might be useful: Pix of Rainbow Niagra

Cabana and Tropical Sunset are every bit full-fledged, vigorous, re-blooming hybrid teas. They are competitive with any exhibition hybrid tea, IMHO.
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For floribundas, Scentimental is hard to beat, but George Burns is about 95% of that.
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4th of July is hard to beat for a climber. It re-bloomed in the first year for me, which is a bit unusual for a climber:
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