Unique live versions of songs
To my knowledge, KoL rarely make significant changes to the arrangement of their songs when performing live. The only clear example I can think of off the top of my head is the acoustic-ish version of Talihina Sky in the documentary, but that wasn't really a live show.
Last time I saw them I think they extended the bridge watch her roll/can you feel it portion of Pyro, but that wasn't a huge change.
Am I missing any?
Personally I would love to see them experiment more with the older songs in live shows. Caleb's voice is great for stripped back acoustics.