First sub-minute, how to improve from that?

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I achived my first sub-120 a while ago, then sub-90 a bit after that. I achieved my first sub-60 today, 57 seconds, after countless solves ranging from 60-90. Now I'm getting 60-75 second solves consistently, and I'm kind of stuck. I use Cross (10 seconds), F2L (30-40 seconds) and 20 seconds for the last layer (4LLL) + T&Y perms whenever they happen for PLL. F2L is split up into about 15-20 seconds finding the pairs and 15-20 actual solving. My current aim is Sub-60 consistently. Should I focus on getting more PLL algs or learning more F2L algs (so I can look ahead), or something else? I use mostly intuitive F2L.

Thanks.
 
Really the best thing you can do right now is just practice and try doing things to solve your pairs more efficiently. For example, you said it takes 15-20 seconds to find your pairs. I guarantee you that if you slow down how fast you are turning while solving them, you will have much less pauses to find them. Just try to look for your pairs ahead of time, while you are doing them.
 
Literally just practice. Doesn't even have to be focused practice at your stage, just solve the cube a couple thousand more times. 1-2 hours a day, 30 - 100 solves a day will yield fast improvement (you'll get at least 1 second faster basically for each day) just by solving.

I was about where you were (sub-minute) a month or two ago with all the same stuff (f2l+4lll) and now I am sub-40 without having learned anything new. I am only now learning 1 look PLL and to be honest I could probably get to sub-30 in another month without it, but I want to get learning it out of the way and then just practice down to sub-20 all at once.

You can try solving slow with a metronome --- it Didnt work for me. Just consciously think if when you are pausing to think about making an F2L pair and try to get faster at it, maybe record video of your solves and see where the pauses are.

I was getting 10 second cross using the beginners daisy cross. If you are using cross on bottom and it takes you 10 seconds, take 1 day to do nothing but a hundred cross solves and watch YouTube videos on advanced cross tutorials and that will cut 3-5 seconds in one day of work permanentally.
 
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When did you learn Fridrich F2L? If you learned it recently, then your times should go down pretty quickly after a few days/weeks of practice. Otherwise, practice looking ahead in your solves. You don't have to find pairs, just find something - a corner or edge while you are finishing up the last pair. That way, you only have to look for the other piece. Also, slow solves should help your F2L efficiency, so be sure to do enough of those.
 
Now is the time to learn a new method, If you want to stick with f2l you can. ZZ and Roux are the other two really nice methods. After a while as your times get quicker and quicker it is harder to change your ways.
 
The switch from LBL to -> cross+F2L+4LL/2LL is a significant one. I think saying it's not a method is pedantic, we all understand what they meant.
 
This is very helpful, it outlines in what way you should learn things, except DO NOT do algorithmic F2L, do intuitive, slower at first but becomes much faster, F2L sets the entire pace for the solve pretty much, so work on that a lot, slower turning makes finding your peices easier
 
I've slowly worked my way down from breaking 60 seconds to having a sub 40 average during the last few months. Even though I learned full OLL and PLL right off the bat, it's not what makes you fast. It really is about the F2L.

Although you should learn to do F2L intuitively, working through and understanding how the F2L algorithms work will hone that intuition.

Besides that, it's comes down to turning fast and reducing pauses. Both of those will only come with practice and repetition.
 
You should definitely try to improve your cross speed. You should be able to consistently solve the cross in about four seconds, maybe three. Also learn more intuitive F2L and make sure you actually understand exactly how F2L works. Try to get your F2L times to at least sub-20. You should work on recognition for the last layer, and make sure your algorithms are smooth and fast, and you are finger tricking in an efficient way. Your goal for LL times should be about 5-10 seconds.
 
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