Never played Breath of the Wild but what I heard from friends the game was actually closer to western rpgs than typical Zelda games. So basically Skyrim, The Witcher and similiar games.
If you are looking for more classic zelda, I would say Anodyne is quite "Zelda-like" but it is also very surreal and its hard to follow what you have to do.
Oceanhorn is similiar to "Wind Waker"with multiple islands that you have to sail to and typical dungeon gameplay.
The Tomb Raider reboot series comes very close to Zelda in terms of gameplay elements. You find different equipment that you need to get further into the game, you have to solve some puzzles and you can backtrack older regions to find missed stuff (or stuff you can only access after getting new equipment). It IS a shooter game however (no swordplay) and is marked "mature" for a reason.
Final Fantasy XV might be also close to Breath of the Wild but again, cannot confirm because I have never played BoW.
Treasure Adventure World is close to Zeda in terms of gameplay, although a 2D sidescroller.
Ittle Dew is a parody of the zelda Genre (the classic 2D ones) and because of this features many elements of those games. But since its a parody it does not take itself very seriously.