The only 2 psp games I have spent a lot of time with are K-on! hogako live because one I like the show and two I like rhythm action games so was perfect for me but it is a bit niche I suppose.
The other one is Dissidia duodecim I could never get on with the first Dissidia and if not for circumstances at the time would not have got and played Duodecim but I am glad I did as once you actually crack its shell (which takes a while) and get beyond trying to win by just mashing buttons it is a suprisingly enjoyable and different brawler with a reasonable amount of strategy, it is however a slow burner dont expect to be able to get into it straight away oh and the story is naff but the journey is quite fun.
I have always wanted to try half minute hero but so far I havent done so, many like the monster hunter games but they werent for me you could also try Disgaea I didnt play the psp version much because I already had the PS2 version but if it hooks you then you will be ok for something to play for a while no matter how much or little time you have.
The other one is Dissidia duodecim I could never get on with the first Dissidia and if not for circumstances at the time would not have got and played Duodecim but I am glad I did as once you actually crack its shell (which takes a while) and get beyond trying to win by just mashing buttons it is a suprisingly enjoyable and different brawler with a reasonable amount of strategy, it is however a slow burner dont expect to be able to get into it straight away oh and the story is naff but the journey is quite fun.
I have always wanted to try half minute hero but so far I havent done so, many like the monster hunter games but they werent for me you could also try Disgaea I didnt play the psp version much because I already had the PS2 version but if it hooks you then you will be ok for something to play for a while no matter how much or little time you have.