There are three types of weapons that are used:rush, blast, and storm weapons.
Rush weapons require your mechatar to move. They are useful for criticals but are not good when it comes to normal damage.
Blast weapons utilize cannons and lasers. They score normal damages almost as high as storm weapons(althogh the highest critical I've seen and possibly the highest recorded: -221 was scored by a blast weapon) but are easy to deflect and hard to score criticals on.
Storm weapons are made by storm drones using the elemental energy within them and are effective at overwhelms, difficult to deflect and are extremely powerful. Due to their power they are not available at the start of a battle.