The Dave Brubeck Quartet
Given that the linking idea between these choices is that they are in a variety of time signatures, with only a few excursions into 4/4, it's quite a feat that they should sound so natural. It doesn't feel like challenging music. I expect this is partly why it was such a success in its time - that, and the one-off, mellow hummability of the famous "Take Five" (in 5/4 time, of course). Even the featured drum solo doesn't dent its likeability.
If none of this comes across as a whole-hearted endorsement, that's probably more to do with the fact that I find most jazz a little bloodless, rather than anything else. It's all ... well, like I said, pleasant.