Pretty much all of them except Motaro, Onaga, Blaze, Moloch, Smoke, and Mokap.

Yes, weapons are customizable.

So you mean in KAK you could MAKE your own weapon and name it what you want?

Make it from scratch? No. Name it? Yes.

Ashrah: Kriss
Baraka: Blades
Blaze: None
Bo Rai Cho: Jujutsu
Chameleon: Ninja Sword
Cyrax: Pulse Blade
Daegon: Drakeswords
Dairou: Autumn Dao
Darrius: Gauntlets
Drahmin: Iron Club
Ermac: Axe
Frost: Daggers
Fujin: Devastator
Goro: Gauntlets
Havik: Morning Star
Hotaru: Naginata
Hsu Hao: Sun Moon
Jade: Bojutsu
Jarek: Kickaxe
Jax: Tonfa
Johnny Cage: Nanchaku
Kabal: Hookswords
Kai: Spiked Club
Kano: Butterfly Knives
Kenshi: Katana
Kintaro: Saber Teeth
Kira: Dragon Teeth
Kitana: Steel Fans
Kobra: Machete
Kung Lao: Broadsword
Li Mei: Kun Lun Dao
Liu Kang: Nanchaku
Mavado: Hookswords
Meat: Cleavers
Mileena: Sai
Mokap: None
Moloch: None
Motaro: None
Nitara: Kama
Noob Saibot: Unknown
Onaga: None
Quan Chi: Broadswords
Raiden: Staff
Rain: Storm Sword
Reiko: Dredge Hammer or Devastator
Reptile: Kirehashi
Sareena: Demon Fang
Scorpion: Mugai Ryu
Sektor: Pulseblades
Shang Tsung: Straight Sword
Shao Kahn: War Hammer
Sheeva: Shokan Blades
Shinnok: Amulet Staff
Shujinko: Dan Tien Dao
Sindel: Kwan Dao
Smoke: None
Sonya: Kali Sticks
Stryker: Nightsticks
Sub Zero: Kori Blade
Tanya: Kobu Jutsu
Taven: Drakesword

In the E3 version of Mortal Kombat Armageddon, the weapons for KAK were split into two categories. These categories each had three weapons.
SWORD:
- Ninja Sword
- Kriss
- Autumn Dao
AXE:
- Axe
- Kickaxe
- Morning Star
Those were the only available weapons. However, that was by no means a completed version of KAK, and many more weapons are expected to be included.

Well, that answered the question and then some. Thread closed.