In Ultima HM usually:
1) people have no idea that running in purple orbs together split damage and they try to avoid those orbs at all cost
2) during Ifrit phase people don't realise that it is actually Ifrit not plumes killing them
3) sometimes in the party even both tanks don't know that only tank use lb in this fight because you can't survive 3rd cast of Aetheric "boom" something otherwise.
Garuda ex usually is fail due to lame tanks that target adds at pillars before Reckoning and can't decide who, when and where to take which add on Spiny plume phase. And of course there are some DPS that will kill Spiny plume instantly and don't understand any branch of human language when people beg them not to kill it.
Moogle ex. Not an expert of Moogle ex myself because I have just tried it once. Joined learning party last week with 3 fc members that had killed it before and fc tank who also hadn't seen it before. We killed it after 3 or 4 wipes, everyone seemed surprised we did it but generally the fight seemed rather simple and probably it is most pressing for the healers here. The hardest part seemed to be for tanks to keep distance far enough from each other to not get king buffing everything and for healers to massively heal tanks and confused dps. As a dps I seemed to actually have the easiest job there - simply focus target healer moogle, get all moogles below 10% hp and interrupt blm and healer moogle casts.
I have yet to beat Titan ex and Leviathan ex though and they seem to be hard for a rather weird reason - every time we seem to get good group and die with boss having less than 25% there is one moron who instantly ragequit. Seriously, with 2 or three wipes we could have killed it with the force of Echo alone but there is never chance for that while people never rage quit if we die with boss having more than 50% hp left...