In One Possible Timeline Starfleet Began using Ship Mounted Phaser Weapons in 2195 as a Replacement of the Phase cannon and the Laser Bank, However in 2242, a New Type of Laser weapon known as the Phased laser took over as the main Directed-energy weapon in the entire fleet before being replaced by a More Powerfull Phaser Weapon in 2257. Old Hand Held Phaser Weaponry was Introduced in the 2200s, However Laser Pistols Replaced Phaser Pistols in 2242, However by 2257 Starfleet Created A Better Version of the Phaser Pistol however The Phaser Pistol wouldn't be The Main Hand Held Weapon until 2265.
The Hydran Kingdom operated two versions of a shipboard rapid-fire phaser that could fire four times as fast as normal shipboard phasers. While useful for point-defense, it acted more like a pulse phaser in regards to targeting other capital ships. (Star Fleet Battles)