I have a few reasons I want to go to the UK, and seeing an Arsenal game at their home stadium is one of them. It's not so much that it's my favorite team as that I (1) want to see a Premier League game, (2) their stadium looks beautiful and (3) I enjoy watching games from there because they are better equipped than average for telecasts.
It's a great stadium and loads of fun to visit as a gooner. Not all games are open to all though. Some require you to be a Red Member for a while before you can buy tickets. So keep that in mind.