I’d recommend Dragalia Lost. It’s fairly hands-free, and you can either play it very casually when there is a big event going on in FGO, or focus on it more during empty weeks. The game is also very generous with its premium currency, and the daily tasks and achievements both reward you and give the game a nice rythm.
Cons are the fact that it’s a very different kind of game from FGO, the chibi art style is cute, but not everyone’s cup of tea, that it follows the usual gacha crap where you need to put together and raise/gear a full team for every element, and that while the UI is slick, it can be kind of annoying sometimes with the number of unnecessary steps it takes to get from one menu to the next and back.
The one I wouldn’t recommend is Epic Seven. The game is gorgeous, it has an okay story (first arc is kinda bad, second arc is considerably better) and a lot of content, but it is an insane time-sink. Just to give you an idea, in order to six star a character (raise their level cap to 60), you need to feed it 5 five star fodders. How do you get those? By getting two star fodder, leveling them up, and using two other fodders to promote it to three stars. Repeat this three more times so you have 4 three stars and promote one to four stars. Repeat the process four more times, so you can use them to promote the fodder to five stars. Now repeat the process again four more times, and you can promote ONE character to six stars, and you need to do this at least four times before you can even realistically attempt to start gear-farming in earnest, and THEN you have to contend with grinding gear with RNG stats, and you have to do it, because the endgame is all about the PvP, and without god-gear, you have no chance to rise in the ranks. It’s a fun game, but it’s main gameplay loop is so damn grindy it makes Nerofest lottery farming seem sane in comparison.