Here is a list of Melee weapons used in the star trek series and WE SHOULD HAVE THEM.
KaBar combat knife
The KaBar combat knife is the Federation's standard-issue combat and survival knife. It is 32.5 cm (12.8 in) and is standard equipment in survival gear and in emergency weapons caches aboard starships. Captain Kathryn Janeway uses one in the Star Trek: Voyager episode "Macrocosm". In the real world, the KA-BAR was an official combat knife of the United States Marine Corps.
A d'k tahg
A d'k tahg is a Klingon dagger. The knife has three blades: a main blade with a cutout in the center, and two smaller blades on either side. In some models, these side blades are spring loaded and can pop out into position and close up for storage. In other models, the blades are fixed. It also features a pommel studded with blunt spikes. The D'k tahg first appeared in Star Trek III: The Search for Spock, and appeared occasionally throughout the following films and TV series.
Similar to the d'k tahg, the qutluch is "the ceremonial weapon of an assassin." A qutluch is designed to do considerable damage to internal organs, by Klingon standards thus making it a very lethal weapon. The qutluch is featured in the Star Trek: The Next Generation episode "Sins of the Father", when Worf's brother, Kurn, is stabbed; and in the Star Trek: Voyager episode "Real Life", where the Doctor's simulated 'son' prepares for the Qutluch ceremony.
A mek'leth is the Klingon short sword that appears in several episodes of Star Trek: Deep Space Nine and in the film Star Trek: First Contact. Designed by Dan Curry, it consists of a short, thick, curved blade with a metal guard extending back parallel with the grip to protect the hand. Worf is the most commonly seen user of the mek'leth, owning one and using it several times, including in melee combat against Borg drones in First Contact.
A lirpa is a Vulcan weapon consisting of a wooden staff a little over a meter in length, with a semicircular blade at one end and a metal bludgeon on the other. It is similar to the monk's spade. Captain James T. Kirk and Spock used lirpas when they fought for possession of T'Pring during Spock's Pon farr ritual in "Amok Time". Soldiers sent after Jonathan Archer and T'Pol fought with lirpas because Vulcan's "Forge" region makes conventional energy weapons useless.
An ahn'woon is a Vulcan catch-strangle weapon, similar in principle to the Earth Roman gladiator's weighted net. The multi-strapped weapon (approximately 1.1 meters long) uses weights on the ends of the straps to entangle, stun, or cut the target, and the application of tying action and wrapping can restrict the breathing of the target, asphyxiating the victim.
A katana is a Federation sword of Japanese origin. The only major difference compared to the old sword of today is that the Star Trek version is foldable, thus occupying a minimum space when carried and stored.
I think implementing a combat system where melee is actually a viable tactic (in PvP and difficult PvE, not just soloing exploration missions) is more important than adding art and animations for weapons that will rarely be used.