Melee

Melee Combat has been fairly limited within the Tomb Raider series, though there have been some weapons to allow close quarters combat, and some of the games allow for hand to hand combat.

Hand to Hand
Tomb Raider: The Angel of Darkness is the first game in the series to allow hand to hand combat. Lara can punch and kick enemies, and perform stealth takedowns.

In Tomb Raider: Legend Lara can kick enemies to stagger them, or jump on enemies, which will also stagger them, and cause the game to go into "Adrenaline Mode" allowing her to shoot nearby enemies.

In Tomb Raider: Underworld Lara can once again kick enemies, to stagger them, now with a larger variety of kicks, including a jump kick and a roundhouse kick. Once again, Lara can jump on enemies to go into Adrenaline mode, though will only be allowed to kill one enemy. During the Lara's Shadow DLC, Doppelganger, has more melee attacks, and has increased strength and speed, and can dispatch larger enemies with just a few hits.

In Tomb Raider Lara can shove enemies in order to stagger them, or push them off ledges if they are are close enough. Lara can perfrom two stealth takedowns; Lara will strangle enemies with her bow, or as the game progresses, Lara will learn the skill to use her axe for melee strikes and finishers. Lara can also hit stunned enemies with rocks to finish them, or stab them with her arrows.

Weapons
Climbing Axe Lara's climbing axe doubles as a melee weapon. It is based on a DMM Rebel Ice Axe.

It can be used for swift strikes, executions and stealth finishers.

Tactical Knife
Lara acquires a knife for stealth takedowns and finishing movies in Rise of the Tomb Raider. It appears to be Soviet Era. It can also be used to cut ropes. It is also known as the Hunting Knife, and the Combat Knife

Impromptu Weapons
Lara will use her Bow in order to strangle unaware enemies, before the skill to use the climbing axe for stealth takedowns is leared.

Lara will also use the arrows on their own, for the Dodge Counter/Kill attacks, causing her to stab enemies in the knee/head, dependent on how well timed the attack is. Lara may also use a rock to bludgeon stunned enemies.