I'm also a big fan of odd time signatures, especially those that change. A great example of this is Dream Theater's "The Dance Of Eternity": https://www.youtube.com/watch?v=9ftRhsvvfBw In ~6 minutes, there are 104 time signature changes, largely between 3/2, 3/4, 4/4, 5/4, 6/4, and 7/4.
Another great one is Radiohead's "Pyramid Song": https://www.youtube.com/watch?v=zbKQPqs-cqc It's in (3+3+4+3+3)/16 (depending on how you interpret it), and it's one of the hardest songs to count, as the last note is swung and deceptive. But it's a great composition.
Pyramid Song is in 4/4. If you only listen to the piano part, then you might think it's odd, but when written in 4/4 the notes are just dotted quarter notes and half notes. The drum part is more revealing of the 4/4 time signature.
This doesn't really follow, to me. If you count out the piano part, you get the groups of 3 pretty quickly, then the group of 4 that sits in the middle is immediately apparent.
Counting the drums, to my ear, gives (5+4+4+3)/4, not 4/4. But admittedly, those could be counted differently.
I definitely disagree completely that this song is in 4/4, though the exact groupings can be tough to determine.
Another great one is Radiohead's "Pyramid Song": https://www.youtube.com/watch?v=zbKQPqs-cqc It's in (3+3+4+3+3)/16 (depending on how you interpret it), and it's one of the hardest songs to count, as the last note is swung and deceptive. But it's a great composition.