I've recently started learning to play the bagpipes and I'm looking for some suggestions on tunes that are challenging for a beginner but not overly complex (I'm just not there yet for fast and heavily embellished tunes).

As an example of the level I'm talking about, I feel I have Auld Lang Syne and Amazing Grace down decently well. I've started learning Cabar Feidh but I can only handle it at a very slow speed (I'm talking 30-35 bpm) and I know I'm not playing the embellishments as fast as they should be played but it's a neat tune nonetheless.

Scotland the Brave is one I might start to learn next.

What other tunes did folk learn as they picked up the instrument?