A-kun (17) no Sensou: I, the Tycoon?, Accel World Recommendations
Both mangas have 'less than desirable' young men who end up escaping from their worlds and enter a fantasy one. In A-kun (17) no Sensou - I, the Tycoon the protagonist leaves Japan and enters a world with monsters and magic, in Accel World the protagonist has the choice of going between the online world and the real. The two young men wish to change themselves and these new worlds might give them a chance to. Both are interesting series which I'm sure you'll enjoy.