I've read all of them, and I really enjoyed them. It's true that it's basically "Royal Navy in space", and it might be a little cheezy, but it's a pretty relaxing read.
The space combat stuff gets much better in the later books, Weber managed to build satisfying mechanics for it. There's some good political intrigue too. The one thing that pulled me "out" of the books a couple times were some character names, some of them are pretty ridiculous (Queen Elizabeth III for example).