League of Legends (leagueoflegends.com), it is free to play. And not just free to play for some stuff, you can get all the heroes and items free. The only thing you have to pay for, if you want it, is different skins for your champions.
If you play, look me up. My handle is Kentai. If you are new, please say I referred you.
Old school Ultima Online, from the late 1990’s, wasn’t a grinder, though it might well be unique in that respect. People still host free servers, on which they not only try to mimic, but also build on, that era of Ultima Online, by using an emulator called RunUO. The relatively deep, competitive PVP interaction, and the verbal interaction surrounding it, made it not a grinder for much of the community, though it still required some grinding, which many people of course tried to avoid by using bots, macro programs, and so on.
Well, you start out with nothing every game. But what you buy is part of the strategy of the game. Also, you gain levels as you play, and you do not lose them. As you gain levels, you can add points in masteries and get more runes. I would just start playing regular games, everyone else playing them is new too, so the games are pretty fair. Also, I sent you a friend invite.