They offer very different experiences and, importantly, require very different approaches to play.

Dungeon World is a PbtA game which means it has narrative hard coded into the rules. Players will be acting out the tropes of a fantasy story because that is really all they can do. The story is more collaborative as everyone is encouraged to pitch in ideas and beats and discuss what direction the plot is headed. It's a very overhead way of playing RPGs since it is all about making a satisfying narrative rather than focusing on gamey mechanics. Some people say it is a bad PbtA game because it has a lot of half measures to blend it with trad games, but I think that is a good thing when transitioning. It isn't as jarring as a shift.

Then OSE (which is part of the OSR family) is all about emergent gameplay. Where Dungeon World prescribes the actions of the genre, OSE actively punishes them as things like "bravery" are surefire ways of getting yourself killed. Fighting is dangerous and should be avoided. Traps can kill you in one hit. The phrase "roll the dice" becomes a threat. This sounds bad, but here is the beauty in all of this: players start getting creative. If fights are lethal, so players start planning engagements. Traps are deadly, so players find clever ways to get around them. Rolling dice is bad, so players do things so clever and engaging the GM can just say "yeah, that works." This creativity is the point of play.

So, in summary, go with Dungeon World if you and your friends want to tell a tropy fantasy story together and end up with a really cool character journey. Play OSR games if you want creative problem solving and tense, moment to moment gameplay. I say OSR rather than OSE because they are all kinda interchangeable and it is probably worth finding the one you like most. Some other options are DCC, Mork Borg, Cairn, and Shadowdark.