I should mention that most F2L algorithms have an intuitive structure to them. You first pair the pieces, then insert them. Having this understanding can make it much easier to learn more algorithms for advanced cases.

F2L is much more nuanced than OLL or PLL, so the best algorithm may change depending on the situation. The algs shown here are a good starting point, but it's practically impossible to account for any and all scenarios in a single comprehensive list. If you're a visual learner, you may find it useful to watch example solves.

Here are way too many general ideas you can apply to optimize F2L:

•Make sure you can do the left-handed version of every case just as quickly. 

•Cases with a flipped edge are usually solved with rotations.

•If you need to rotate, it's better to insert into the back.

•Solving back slots first is typically faster, since it fills in your blind spots.

•Take mental note of pieces you see before rotating.

•For rotationless solutions, RF moves are more ergonomic than UF moves.

•RUD algorithms have better lookahead than RUF or slice algorithms.

•Avoiding rotations is more useful for the last slot than the others.

•Rotating before pairing is usually better than rotating to insert a pair.

•Be aware of which slots are open, and use them for pairing to save moves.

The Best F2L Algorithms