Items
Carousel Item Priority
Higher Priority Items
Lower Priority Items
High>>>Low

Item Quadrant
Strength is based on how effective they are in the situations where they are most used. Items that are strong at all stages of the game are listed higher.
Versatility is based on both Compositions they fit in and Champions. Can also be considered how often you would build them.

Compositions
Tiers are determined by what I think will get you the highest average rank. This means that while one composition might be super strong late game, it may be difficult to acquire, so it may not be S-Tier. For example, it is difficult to win with Berserkers, but extremely easy to Top 4, which makes them S-Tier. Rankings within a tier are very close together. Always try to play with what makes sense for every game, and adapt to your lobbies with proper tech choices.
Difficulty and Item Dependency are listed. Difficulty is how hard the composition is to play. Difficulty does not factor into the strength or viability of the composition but serves as a factor for new players. Tiers are created assuming strong play.
S-Tier: Highly Flexible or Very Strong
Inferno Shadow – Difficulty: High. Item Dependency: Low.

Can add Summoners earlier as well via Yorick/Malzahar. Highly Flexible. Kindred 3* is preferred. This composition is really difficult to get 1st place with if you keep Kindred as your carry, but 3rd and 2nd is quite manageable.
Sion likes mana for CC.
Ranger Warden – Difficulty: Medium. Item Dependency: High.

Berserker Poison Desert – Difficulty: Low. Item Dependency: Medium.

A-Tier: Solid Team Comps. Weaker, less flexible, requires more luck than S-Tier. Any Lux 2* Comp is at least A-Tier
Ocean Mages with Wardens – Difficulty: High. Item Dependency: Low.

Lights – Difficulty: Medium. Item Dependency: High.

No need for hyper roll. Just get GA on Yorick + 2 random items. I like hat or defensive items. Make sure Vayne has at least 1 item, preferably Rageblade. You can transition to Lucian if you get Lucian items.
Hyper Roll Predators – Difficulty: Low. Item Dependency: High.

B-Tier: Playable, but not Preferred. Comps could also be untested.
Husband and Wife – 6 Light + Senna – Difficulty: Low. Item Dependency: High.

Hyper Roll Lights – Difficulty: Low. Item Dependency: High.

C-Tier: These are compositions that are weak, but if they are given to you, you might be forced to play them.
Blademaster Mystic – Difficulty: Medium. Item Dependency: High.

6 Assassin 4 Desert – Difficulty: Low. Item Dependency: High.

Check out this article on how to adapt to every map in TFT!
Video Guide