You know hanging out with the Guardians of the Galaxy or Nova Corps helping stop Thanos or maybe team up with the Fantastic Four in defeating Galactus and his heralds or the Skrulls?

I say this because every other hero has journeyed into space and got famous by the space characters there, but Spidey has not.

Once in awhile is fun but no, not on a regular basis.

Secret Wars.
He was in outter space.

Nope, those are the opposite adventures he should be having. Though I would not argue if we got one or two.

Also i saw your avatar and remembered that he has been in numerous micro-verses with the FF.

Does micro-verse count as universe scale adventures?

You know he's called the 'Friendly Neighborhood Spider-Man' for a reason, right?

Well yeah....it was a different kind of adventures....long away from the regular street spirit of the character.

This.

like the others once in a while.

Honestly? I can live without it.

Recently so many characters are constantly stopping intergalactic threat after intergalactic threat. I personally, very much enjoy smaller-scale stories, especially with characters such as Spider-Man. Heroes like, say, Thor or team books are difficult to do smaller-scale stories with, so I say save the "intergalactic threats" for them and give Spider-Man some more personal stories with more personal villains and consequences rather than "oh no, the universe is ending for the eightieth time this week!"

I wouldn't mind it if he did but no, I don't think he should

Nah, I'm good with New York.