Flying boats get larger and aren't phased out until the late '50s. Longer on feeder and might still be used in the present day for some smaller destinations (like in the Caribbean or Pacific). The Jet Age doesn't get going until the '70s.
As for airships you need to do alot more than remove WWII for them. Even keeping the Hindenburg from crashing isn't enough. Firstly Germany can't be the only country with an airship program. The US and the UK programs are the best candidates. The American program would be mostly military (Navy), Goodyear would team up with an airline (probally not PanAm) to run a passenger/mail service. They might focus on Pacific routes and leave the Atlantic to DELAG/DZR.
There is a catch-22. The only way for airships to be more widely used would be to avoid diasters like the R101 & Hindenburg crashes. But then hydrogen craft won't get as bad a rap as in OTL and the German & British programs will still fly with hydrogen for economic reasons (it's alot cheaper than helium would be). Americans still use helium though. In no case to they last longer than the late '40s or become an option for all but the super-rich & government travelers.
The real winner (at least in North America) would be rail. Without a post-war boom the '50s won't be as prosperous as in OTL. Suburbanization and rise in car ownership still happen, but on a much smaller scale. No Inter-State Highway system (or at least a much smaller one). Air travel doesn't really displace long-distance, transcontinental, travel until the '70s. Even so rail remains a more viable option up 'till the present day.
Urban planning is effected in a major way. Everythings much more focused on public transit, cities are more compact. Suburbs are built with the idea of all houses being within walking distance of a trolley/rail stop for workers to take into the city. Most middle-class families only have one car and most men leave it at home for their wives to use running errands while they're at work. Working-class families stay in the cities and don't have cars.
Ocean liners hold their own until the '60s, but are extinct by 1980. Cruising still becomes popular and somebody keeps a lone transatlantic liner in service. In 2011 most medium-distance intercity travel in the US is via rail, buses, private car, and air (in that order). There are a bunch of high-speed rail corriders, but you probally can't travel all the way from NYC to LA on one (though NYC-Chicago seems likely). Maybe more night-trains survived.
Passenger rail might not be privatized, air travel might not be deregulated (hence it'll be alot more expensive). Check out The Airship Legacy timeline by Eckener. It's a zepplewank, but there's alot of detail an what a world without WWII might look like.