Trigger is fairly hit-or-miss when it comes to writing, but they are great when it comes to style and visuals -- especially when they can use their own distinctive style like in Promare and BNA. I hope Dungeon Meshi doesn't suffer from the same problem as the SSSS series in that it is constrained to a different style, so Trigger's distinctive style -- the area in which they excel -- is lost. The glimpses of the action scenes seem promising, though. I haven't read the manga this is based on, but hopefully it doesn't have too much fanservice because I fear Trigger will dial up the fanservice by 2000% to pad out the anime.
I'd really love for Trigger to do a new adaptation of Ougon Bat -- the last Ougon Bat anime was in 1967, and AIC was supposed to make a new one in 2000, but it was cancelled. I think that if they use their style and make it very lighthearted and funny, they could make a great Ougon Bat.
This news is from a while ago, but the Zero Century: Emeraldas movie that Gainax announced in 2017 is in production (
https://twitter.com/zerocenturynet/status/1627665232104689667) -- the movie was supposed to premiere in 2020, but it was delayed as production had to be transferred from Gainax to Gainax Kyoto.