Rectangular Tile Set?

Rectangular Tile Set?

I'm just wondering... Both the image editor (Gimp) and the engine (UE4) support rectangular tiles...

 

But, is it authentic? Could any older hardware use non-square tiles? I'm shooting for a GBA style game, but I wanted to know if there were any games that did this?

 

In terms of specifications, I want to use 16x32 tiles (32 wide)... This is because I'm using a perspective that's a cross between top down and sidescroll. The game will play primarily like a top-down, however.

 

Thanks!