Because of the solid list lapalapa provided, I'll provide some different ones:

•Eminence in shadow for humour, parody and action

• Death Mount Dead Play for reverse Isekai of them coming to OUR world

• Re zero for dark isekai

• Tsukimichi moonlit fantasy for op protagonist and humour

• How a Realist Hero rebuilt the Kingdom for politics and economics

• Faraway Paladin for setting alone

•Campfire cooking in Another World for just chill vibes

As for manga and if I can get away with it Manwha:

• The Greatest Estate Developer: from a REALLY funny but likable bastard of a protagonist, great accompanying characters and excellent facial expressions, I really can't recommend this series enough

•Nihonkoku Shoukan: if you liked GATE for modern military vs fantasy concept but hated the harem aspect, this is for you but be warned, gets updated very infrequently

That's my list for now, I've left off 'reawakened' series or where the protagonist gains knowledge of all future events like Omniscient Reader because that's a different category for me.