After transmigrating into Type-Moon, the protagonist becomes a sentient Holy Grail and achieves the Third Magic in a single day. Having effortlessly attained the ultimate goal pursued by emperors and generals throughout history, he gradually becomes free of all desires.
Thinking that this can't be a good thing, the protagonist decides to find something to do.
"Since I'm a Holy Grail, granting other people's wishes seems like it'd be pretty fun."
And so...
"Come on, tidy up. It's time to head to the next world." He brushed nonexistent dust from himself, accepted a wish after hearing a call from another dimension, and then...
"Lord Ashen One, can you still hear me?"
Main worlds: the Fate series, Mushi-Uta, Is This a Zombie?, High School DxD, and various slice-of-life anime.
Other worlds considered: Is It Wrong to Try to Pick Up Girls in a Dungeon?, KonoSuba: God's Blessing on This Wonderful World!, Honkai Impact 3rd, Problem Children Are Coming from Another World, Aren't They?, and others.