Garen - Spin to Win and fun as all get out to just charge in balls to the walls 0 craps given screaming "DEMACIA!" while also being fairly easy.
{{champion:22} Ashe - Easy champ able to kite(attack and run, or just keep enemies off of you in general) without even trying and deals significant damage.
Kha'zix - Point-and-click Q along with a passive that takes advantage of people being away from their allies, which a lot of people in low level do. Speaking of which, tip: Stay with your team, don't get greedy and go off alone.
Master Yi
Xin Zhao
Jax
Tryndamere
Warwick - All AA-Focused(meaning they just hit you, don't need abilities in lower levels. AA stands for auto-attack) and fairly strong while being easy.
Singed - Just run from people who try to chase you and kill them. Simple as that.
Kayle - AA-focused while having a heal and movement speed boost, an ultimate that makes you invincible for a couple seconds, and a slow.
Heimerdinger - He places turrets and spams his emotes. Imagine putting down turrets and going to make dinner then coming back to winning the game. That's him in low levels.
Dr. Mundo - Like Garen, he's tanky, he screams "MUNDO!" all the time, and he charges in head-first without a care in the world.
Teemo - He dominates the lane phase. He just pokes the enemy, blinds them when they go in so their AA's do nothing, pokes some more, places exploding mushrooms around the map and gets kills and assists... and yeah. Honestly everything is point and click so all you have to learn to do is kite a little and know where to put his mushrooms.
Rammus - You literally just run into a fight head-on and kill enemies by having them hit you. Its hilarious, fun, and easy at the same time. Plus, he only ever says one word. "Okay." "Uhuh." "Alright." "Yup."
Vladimir - Point-and-click health drain Q ability. He just steals health from the enemy and regenerates his own. His E ability deals damage to everyone within a small range of him and the more he uses it in quick succession the more damage it does and his Q and any spell vamp(which heals you for damaging with abilities) healing is increased. He can also dodge enemy attacks with his W which makes him untargettable, and he gets tanky by building damage and deals damage by building tank. He also has no mana but instead uses his health which is quickly healed by his Q ability.
Champs to avoid until you get more experienced:
Azir - Requires a lot of micromanaging as well as learning to kite effectively and learn his combos.
Bard - He can easily screw over your team just as easily as the enemy, meaning you should learn more about the game before you try this guy.
Ekko - He may seem easy enough from the outside, but its hard to land his stun and his ultimate as well as time them both right, and he has little to no escape when he goes in besides his ultimate and his passive movement speed boost.
Ezreal - Skillshots. Literally everything in this guy's kit besides his AA's and his blink(which is still anywhere and not a target, only the damage that comes out when he blinks is automated)
Kalista - Everything about her screams "EASY," but when you get into playing her, her passive reduces her AA damage in replacement for jumping whenever you AA, but its hard to learn and control especially for new players.
Lee Sin - This guy is all about combos. He's easy enough to get when you've gotten a good feel of the game, because although he has a high skill floor, his skill ceiling is quite low.(As in, he takes a lot to learn at first, but when you do there isn't much else to know)
Orianna - Her ball moves so slow and landing things with it can be hard for even someone used to the game.