@Scrublord-EX So some major story spoilers ahead in the UQ section:
What you are talking about sounds like the Buster Quest-esque Limited Quest that was added (and is in the current JP Level-Up Quest rotation), but it doesn't actually count as a Buster Quest in-game in terms of things like the Daily Order; since it is a Limited Quest, there is a chance we won't see it on the Global version. The second major update to Buster Quests was a just adding the Weyland battlefield map to the Buster Quest rotation alongside the Cuento battlefield map; the only difference between the two is some enemy spawns.
They had a few other Limited Quests in there, like one that take place in the Bewitched Woods, and then said Bewitched Woods were released as an Expedition in the style of Ultimate Naverius and Lillipa. They also added Endless Quests, which are similar to Extreme Quests in that you have to complete various stages before running out of time, and a solo Ultimate Quest that continuously increases in difficulty each time you play it (it starts at 1 and caps at 999). Most everything else was Limited Quests that, again, we may not see in the Global version considering that we have only had one out of the dozens that have been in the JP version.
From the UQ side, the first Ep5 one was also almost identical to normal Buster Quests, but had some different mechanics that could appear, like walls that separate the field and Omega Hyunal appearing, followed by the Crimson Felwyrm, then Omega Luther (which is a souped up version of normal Luther with no mini-bosses), then one that has the players escorting a tank for the first half and a fight in the Luther Dark Blast form against Omega Apprentice for the second half, then another Buster Quest type UQ but that is a completely unique map that can spawn all four humanoid-form Omega Falz, and finally the Episode Finale boss which is another arena-style boss a la Elder or Mother.
Episode 6 added a couple of new UQs, along with another Ultimate Quest that is multiplayer but is objective based, another Quest type called Divide Quest that is also similar to Endless and Extreme Quests with mission-based stages, Ultra Hard versions of several Expeditions that are again in the style of Ultimate Naverius and Lillipa, and various Limited Quests.