Here you will find all the complete F2L cases, with their respective algorithms to solve the first two layers of the cube.
Edge and corner in the top layer
Basics
Corner pointing with white facing a side
Corner pointing with white facing up
Corner and/or edge not in the top layer
Corner in the bottom layer and edge in the top layer
Corner in the top layer and edge in the middle layer
Corner in the bottom layer and edge in the middle layer