Considering League without Free Summoner Spells
It occurs to me, having played both DOTA 2 and League, that League summoner spells are definitely a safety net, especially at my rank (Gold). Flash - which is a must-take - and to a lesser extent Heal, are mistake erasers. Out of position at level 1? You can flash to safety. Frankly, every time Flash is up I play a bit bolder because I have that safety net.
I'm not saying we remove them from the game, but bake them into items. I'll use DOTA for comparison because it's easy to do, but they have an item with a flash in it (blink dagger). Costs a not-insignificant amount of gold to obtain. They have a boots upgrade with teleport functionality in it. For jungling, Riot can just make your jungling item have a Smite active that only one player on the team can have.
I dunno, just a thought that it might be nice to incorporate these into build paths rather than give the free abilities that greatly ease early game.