I just listed both, because i've use both. At home i have SW and on the job i use SE.
As far as comparing, SE and SW seem similiar. SW may have a few more modeling feature(dome, deform, maybe others). SE is much better when it comes to sketching in 2D, ofcourse they are trying to pull acad users. I'm not to fond of how SE feature tree is layed out. Id like the feature tree in draft to also display the features or assy model items, not just views and layers. You are able to get to any model or feature in a model while in a drawing in SW. I like to right click for options alot. so i feel there's not enough right click option. Thats more old habit i guess.
Looks like i'm just noting things i miss from SW. but i'm new to SE gotta lot to learn.
Solidworks 2005
Solid Edge V17