weapons I think have to goto ST....lasers vs phasers.....ST ships laugh when they encounter laser equipped enemies.....granted they have some powerful ones but none that can do enough damage to ST shields(- death star blast)....ST has a much wider variety of powerful weapons...
Shields again to ST as laser blasts kill SW shileds and have virtually no effect on ST shields...armor(hull strength) goes to SW thats obvious....only borg combing cubes can get close with the exception of ST voyager came up with some special armor....so lets say with the hull strength we will call shielding even....speed SW.....just because I dont know the speeds...Im sure someone does and Im guessing transwarp drive equals hyperdrive but since I dont know I just give it to SW...sensors from what weve seen goes to ST they can tell just about anything with their sensors...SW just never dwelled on sensor readings much....medical I would guess ST simply due to them growing new limbs with a device where in SW they just go robotic...lol...ships Im undecided since there are so many different type standard fleet ships in ST and basically they are all the same in SW....superweapons going with ST as seeing the doomsday machine could eat a deathstar....lifeforms...sure SW has alot of different ones but most are all humanoid type solid organic type....ST so many powerful energy based lifeforms in ST I just dont see it...sure you have jedi with limited esp and clairavoyant skills (a few that appear to grow to unlimited levels like NJO luke and a couple older sith) but put em up against gary mitchell or persay the greek gods...yes they were in ST (one of em anyways) kes,many more ST has got lifeforms down sheer numbers including droid armies probably SW but thats debatable for sure....powers I included in lifeforms.....not downing TRS as hes cool but the 300 years vs 10,000 er whatever is only applying to the federation if I understand......what about all the other factions races etc....that have been around alot longer.....what about species 8471 or what ever number the borg assigned em...lol....arent they suppose to be really old...many other advanced civilizations ST has run across we dont know how long they been at it....earth got a late start sure but once we got started we caught up really fast! Personally though I cant wait till a wormhole opens up...lol....then maybe the borg can start construction of a transwarp gate and the invasion can begin! borg assimilating jedi! Sith turning kilngons to the darkside! yea!...lol