Two minute meta is a job change btw, not a fight change. Many fights already try to "pressure it", by making big mechanics happen on some of the 2m marks.
But yeah, varied fights would work, but it also depends on what you want to see as the fight. Like, if you just want to make healers less boring, have constant (every 2-5 seconds!) untelegraphed circle AoEs, line AoEs and individual shots hit non-tank targets, for 15%-25% of their health or so. Healers would really not be worried about their lack of damage ability variety at all. Mana would all of a sudden be something to be concerned about. But that's just healers, that wouldn't help anybody else.
If you want to make Picto weaker, ensure there isn't a single window of more than ~2.0s cast time available before having to move. This also invalidates Black Mage of course (except their 100% instant rotation), but it'd be a way to heavily curb Picto as they flat out could not ever cast their motifs barring Swiftcast. Would that be smart? Probably not! But it'd work!
So yeah, "just change the fights" is not really an easy solution, and like "buff everybody else" it also ignores the problem that you can either do A) Sweeping big changes to massive parts of the game or B) just nerf a few potencies of a single job. It's not difficult to figure out which is easier to pull off as far as fixing the actual issue goes.
Does FFXIV need more varied fight design that actually challenges tanks, healers, melees and casters? Yes. Do jobs, in particular tanks and healers, need to be reworked to be less oGCD-centric and actually focus their GCDs on things relevant to their role, like active blocks and actual GCD heals? Of course. Do melee DPS in particular and DPS in general need to be less homogenized and more importantly the DPS as a whole be moved off of all-but-1 being of the static rotation type? Of course.
None of these are quick or easy solutions to an incredibly simple problem though: On average, across the whole game, Picto deals a bit too much damage for how easy it is to play and how trivial it is to survive fights with. Just reduce potancies, done. There are smarter fixes, do those later.