Obviously there are other fast food options with similar parts, most notably probably Döner Kebab, which is very sandwich-like (grilled meat, often pita bread, salad, cabbage, tomatoes, onions, etc., white and red sauce of some description).
I would guess it’s Subway’s main competitor in Germany. Not a chain, since Germany apparently doesn’t do fast food chains. Some cities might have a couple restaurants with the same owner and that’s about it. Now that I think about it that’s actually really weird, but probably not. There are all these chain restaurants in the US and Germany for some weird reason doesn’t really have that at all. It’s either imported (McDonald’s, Burger King, KFC, Pizza Hut) or the odd exception (Maredo, Block House, Joey’s), I guess.
It would be interesting to see whether you could build a national Döner chain in Germany.