[S-Tier] Twin Terror Executioners
How to play
First up is Executioner reroll, this requires the twin terror augment. We want 3star all our units by slowrolling at level 7, where our 3star priority is Twitch, Amumu, Vex, Pantheon. Your main carry will change between twitch and vex depending on which of them is your headliner and which you have better items for, but most of the time it will be Twitch. You will slowroll at level 7 until you have your headliner 3star + amumu 3star, then go level 8 to play the final board.
[S-tier] Disco Dazzler TF
How to play
Next up is Disco Dazzler TF, with this comp you want to get to level 8 as we want to get a 4cost headliner with TF or Blitz, and we also want to hit Ziggs. TF will be our main carry in this comp, before you find him as the headliner at level 8, we can use bard or Lux as the item holder for him. Look to place tank items on blitzcrank when you find him as well. In the very late game, place mana and AP items on Ziggs.
[A-Tier] Country Reroll
How to play
Next up is Samira Urgot reroll, you will go for 3star Samira and Urgot by slowrolling at level 7. Once you hit the 3stars push level 8 and look to add in a guardian or a different unit based on your headliner. The best headliners is any Urogt or Samira headliner, there are not really any others that work or are worth going for, especially since we have a lot of time to hit the preferred headliner when slowrolling. As for items Samira wants 3 AD items, and you will pick 3 of: IE, Last whisper, Giantslayer, deathblade, hurricane, guardbreaker, and HOJ. Urgot wants one healing item where the best on by far is BT, and the other 2 items want to be frontline AD items like titans and steraks. You will prioritize whichever one of samira and Urgot you get as your headliner, but note that Urgots items are a lot more specific and less flexible, so be careful when using up many of his components for Samira items.
[A-Tier] Pentakill Karthus
How to play
Next up is Pentakill karthus, with this comp you want to get to level 8 as we want to get a 4cost headliner with Karthus, but since we don't have to hit any legendaries for this to work, we can also roll at level 7 for it. Karthus will be our main carry in this comp, and look to place tank items on mordekaiser or yoric depending on who your find first. In the very late game, place items on viego or akali to get a 2nd carry.
[B-Tier] Annie Reroll
How to play
Next up is Annie reroll, with this comp you need annie as the headliner in the early game. Both Spellweaver and emo work, and you will add in amumu if you got spellweaver headliner, and seraphine if you got emo headliner. You will not level in the early game and wait until stage 3-1 before you roll. There you will usually roll until you hit Annie 3star. From there you will add in more spellweavers to round out the comp.