You wanted examples of better non-bethesda games? ok.
First I would mention: Mount & Blade any of the games in that series is better than skyrim. Combat is better, battles are bigger, you can own your own business and I would even say that romance is deeper. Though I guess the game is not really fantasy in the magic and monsters kind of way, but the realm it is set in is made up, well With fire and sword is set in our world, but the other two.
Mount & Blade is a very good game but to say it's an good RPG is pretty strange, I say it's an first person strategy game with strong RPG elements. has only played the original.
Combat is downright scary, however quests and npc interaction is worse than Skyrim

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Baldurs gate and Icewind dale etc. Great story, a huge variety of monsters, lovable characters etc. If you are a graphics person however, this might not be a game for you as it is rather old.
Baldurs gate and Icewind dale, will also add neverwinter night and dragon age origin. Good rpg however find icewind dale pretty weak in this setting.
Main difference is that it's an party based sideway down looking game, an totally different gaming experience, more of an rpg than M&B and also more than Skyrim or Morrowind, however based on the AD&D bordgame rules, dragon age orign and neverwinter night is better here as rules is more designed for computer games.
However an totally different gaming experience M&B is more like the elder scroll series.
MInecraft, HUGE open world, you can look like just about anything, great unique fantasy setting with multiple reals such as the nether and the end.
There you have five games already.
And you said the Hanzo sword of gaming and that's way bigger than just open world fantasy RPGs so there I would also like to mention:
the STALKER series, great games, great setting, good sotry. Dawn of War, well this is an RTS, but it's very entertaining and has a great sci-fi, fantasy (there are orcs and magic and stuff) setting. I could go on about this.
And I see that you just talked about a unique experience from skyrim, you will be really hard to peruade as the experience from skyrim is unique, just like any other game. No other game have ever had the TES feel mixed with meh before. Don't get me wron skyrim is a good game, just not a good TES game.
But as I said every game has it's own unique feeling, but the games I listed above are just a few non-bethesda I can think of that feels "better" than Skyrim IMO.
Correction, Skyrim is a better RPG than anything that is released nowadays. There are plenty of old RPGs that are still available.
Almost last I agree Stalker has some of the same feeling.
However I feel that lots of the critic of Skyrim is Skyrim against Oblivion with 5 years of mods, or Morrowind with 9 years.
Both the games has more weaknesses than Skyrim, major issues is annoyances, two guild quests is to short, npc dialogue is weak, major issue is that destruction is pretty broken and no spell making.
Major issue in Oblivion, level scaling is pretty well broken all over.
Major issue in Morrowind, no high level content, magic is pretty broken as you did not regenerate magic.