Based on other MMO Bard experience
To add to suggestions, maybe with Bard's mobility, it could be cool to add a medium AoE effect to songs instead of raid-wide. Of course song effects would need to be boosted (I also quite like the last suggestions for song effects).
Adding an AoE effect like that could maybe bring more challenging gameplay? Like, having to decide the most optimal place to stand while avoiding mechanics and getting the most out of your songs' buffing effects to party members, which party members to buff with the ongoing song, etc.
Minuet is our "Time to DPS" song, Ballad has always been about MP since the ol' Bow Mage days, but I don't know what Army Paeon could do. The only thing I can imagine is granting Haste to you and party, but it needs to be worthwhile (it currently takes 4 procs to get a slight speed boost, the effort is not worth the reward in my opinion). Maybe have the Haste effect stack depending on the number of procs?
Other than that, although I understand the removal of some Role Actions, I want Palissade back (or an equivalent that grants defense).
Being told "Well you're DPS, you're not supposed to have so many buffs available because of the Trinity" is angering to a certain degree, especially since Dancer shows up to rub salt in the wound. In MMOs and games in general, heck even in normal fantasy, Bard is traditionally associated with Support. In FF14, Bard is a DPS. Sure that's okay, but there has to be a way to keep the support aspect that's glued to Bard's identity throughout the fantasy genre so the class doesn't turn into another selfish-dps-but-with-2-raid-buffs.
The key to that balance is, of course, the songs and procs however Bards should have more buffs available compared to the other DPS classes while also not being so good as it invalidates some Healer actions. Perhaps all of our buffs can only be used under song duration like Battle Voice (and also affect the bard itself). Or maybe it costs procs to use certain buffs? That way, it would show the players to ABS (Always Be Singing) lest a big part of their kit is greyed out.
Some of those are only some of the things from the top of my head, but I firmly believe Bard should keep over 1/3rd (or even half) of it's kit for Support skills. I personally chose Bard because I like to support my team (and Healer is a bit too stressful for me) while also enjoying the Archer aspect of it. I might very reluctantly pick up Dancer or just stay a Fisher main for ShB.