Nothing like people asking for urf all year and then complaining about urf when, shockingly, 3 other game modes exist.
There is summoners rift, divided into 3 different parts. Take your chances in blind pick, where there is no pick order or bans, and everyone just picks immediately without seeing what the enemy is choosing. Try your hand at draft that is meant to be a ranked simulator, incorporating a robust banning phase, a desired champion selection, and a pick-by-pick open picking phase where you see what your enemy picks and pick accordingly. Once you've gotten comfortable here, take your shot at the ranked mode where everything is the same as draft but every win provides ranked points to try and achieve a higher status!
There's twisted tree line, where you team up with two other summoners in an accelerated form of the base game. Experience only two lanes, severely reduced jungle, a few different item sets, and vile maw, a weaker form of Nashor however shouldn't be underestimated. Rumors say he has a passion for dancing.
And if that doesn't suit you, go all out brawl in All Random All Mid, featuring a beautiful yet treacherous bridge where your champion is randomed, your recall is disabled, and your gold income is increased. For those looking for the quickest game, experience What it would be like to start at level 3 where the objective is shifted from creep scoring and taking objectives to figuring out how to properly engage 5 enemy players at once in a very small area of combat. Be wary though: the poros are many and hungry, and legend says that which you feed most, grows most.