Define "rubbish"
Do you mean simple games to play?
As in simple (as in the rules are quick and easy to learn) but also challenging?
Match 3 games are generally good for this.
Fishdom is a match 3 game with a sort of bonus thing as the points and Prizes you gain in the match 3 part let you "buy" fish and ornaments etc to create a virtual aquarium I quite liked that for a while
There's the classic candy crush which I'm now stuck at level 506, must give it another go it's been ages.
I also play Tetris on my phone (keep getting to level 15 then crashing out level 16 has become something of a nemesis now)
Also old favourites solitaire and sudoku, the solitaire I play has a daily challenge game and also 3 daily goals eg win a game within 120 seconds - can be harder than it sounds!
I also play Reversi (othello) the basic rules are simple but like draughts and chess its a tactical game so it gets quite challenging.
In terms of long storyline games I used to love playing castle story which is like a renaissance fair type scenario, you set up your own town with farm plots and trees and animals, going fishing etc and there are villains to win over etc very gentle. I got to the top level but at that point it got quite boring. Changed to a new phone and haven't downloaded to this phone yet. There's also restaurant story where you build up and design your own restaurant and serve customers and there are seasonal recipes, decor and tasks etc also bakery story which is very similar but of course mostly sweet recipes. Both make you very hungry! 
What I'm mainly playing at the moment though are FarmVille 2 country escape and FarmVille tropic escape. Used to love farmville back in the day so had a look and I'm quite enjoying it.
I like tropic escape best as it's set on a tropical island with a beach and is very soothing setting.
Any of that what you're looking for?