As you know, Lara is up to date with all sorts of melee attacks and uses them to her advantage when against enemies - regardless of who they are and how strong. Again, read the reccomendations first.
Reccomendations
Melee combat is dangerous to other people not only yourself. NEVER FIGHT PEOPLE FOR NO REASON and do not start fights. This section is best performed with supervision and it is good to join up with a group that teaches kickboxing or something on the lines of that.
Melee Moves
Punch
Knee
Kick
Front Kick
Back Kick
Side Kick
Flying Kick
Nudge Kick
Spinning Kick
Round House Kick
Turn Kick
High Kick
High Front Kick
High Back Kick
High Side Kick
Back Flip Kick
Lara can also do various jumps and flips and incorporate them into melee combat. But don't try and do it yourself, without proper supervision.