For the most part, I still currently use the Beginner’s Method (as taught by RobH0629‘s very accessible and excellent tutorials) to solve a 3×3 cube. Although I’m amazed that I’ve gotten down to 1:09 using that method, I realize that I’ll need more advanced techniques to cut my times. For example, on even my fastest solves, the cross takes me an average of 15 seconds; with new techniques, I should be able to halve that.
When I say cross, I mean forming a cross/plus-sign in the bottom face (usually white) by placing the white/red, white/blue, white/orange, white/green edges with their white halves facing down and colored halves lined up with each side face’s center cube. Like so: