Layer By Layer(Beginner)
This method is the easiest of all, with the least algorithms to learn, and involves solving the cube layer by layer 3x3. For 3x3, there are three layers to be solved, and this method can get you solve times of about 35 seconds and above with a lot of practice.
CFOP(Intermediate to Advanced)
This method, also known as Fridrich is most used by cubers, and can get you solve times of under 30 seconds and even under 10 seconds with practice. With 78 algorithms to learn, this is a great method to consider to get faster from the LBL method,
Invented by Gilles Roux, the Roux method is popular for one handed solves as it uses lesser moves than CFOP. This method can get you under 10 seconds, with much practice.