I understand that you're not a big fan of BOTMI, which is perfectly fine in my book, but you're clutching at straws here. The only track from the list that is similar in any way to BOTMI is WAL, and that's mostly due to the beat. Unless you're thinking in very wide terms, such as "ballads in the minor mode" or so, but then you could put half of Noel's output in the same bag.

Even when you strip the song down to its essence (namely, melody and harmony), BOTMI is a very unique track among Noel's work. It's got an interesting chord progression, with constant modulations back and forth (very atypical for Noel). The chorus ties in with the bridge in a way that is difficult to determine when one begins and the other ends. I can't think of many examples of this, TDOYAM does a similar trick, but the separation is much clearer in it. The guitar solo uses a unique chord progression in the song that doesn't reappear (Sunday Morning Call does the same). Johnny Marr's contributions are really unlike what we usually find in Noel's songs, and stand out on a track that isn't guitar-centered (drums, bass, keyboards and the orchestral arrangement are the main featured sounds, especially in the verses).

All in all, I would say it's a pretty different song for Noel, and hopefully, for me, a sign of things to come.