Here are the ships that work best for boarding actions:

Ship to ship: Delta-class Dx-9s Stormtrooper Transport II
It has a hull cutting laser with airlock and carries a complement of 30-40 soldiers with a crew of 3-5. this ship carries a light weapons load of 2 laser cannons giving it enough of a bite to warn off potential aggressors as it gets its troops to target.
http://www.imperialcenterstore.com/scat/1/cat/27/product/453/

Commando ship to ship: TIE/bc Boarding Craft
Carrying a single soldier, this lower profile fighter/boarding craft is equipped with a boarding cutting torch and is perfect for the Sabotage unit on the go or the Assassin on a mission. Carrying a single soldier.
http://www.imperialcenterstore.com/scat/1/cat/27/product/445/

Ship to ground assaults: Gamma-class ATR-6 Tranport
mounting 4xDouble turbolaser cannon mounted on turrets, 2xMedium ion cannon, 2xProton torpedo tube, and carrying a complement of 60 troops. This dropship is the top of the line for imperial ground assaults as well as assaults where landing inside a hangar or docking with an existing docking ring are options.
http://www.imperialcenterstore.com/scat/1/cat/27/product/455/

Delta-class Dx-9 Stormtrooper Transport I
Carrying  heavier weapons complement of: 8xLaser cannon, 4xIon cannon, 2xProton torpedo tube, and 30 troopers. this allows for ground support as well as both anti ship/vehicle combat to secure a landing sight.


Armor: Zero-G Assault Stormtrooper Armor Mark II
This armor is well equipped for assaults on ships where one might lose life support, gravity control, or find themselves EVA due to hull breach. Weapons load contains the mini-proton torpedo launcher, cutting laser and blaster cannon for usage in boarding actions for when the standard trooper armor is not up to the task or a risk of hull breach or loss of support is high.

A convo with Driver on IRC, he asked me to do some research and figure out what ships and equipment would be optimal for our fleets to use in certain boarding and ground assaults due to the lack of standardization in the wiki and stories, this info was meant to give those seeking to operating a boarding action a good jumping off point.