Hi,
I live in coventry and hate it! me and my partner are currently saving to move out! yep theres the cathedral, herbert art gallery , transport museum and st micheals but be careful walking around the streets near the cathedral alone, can be a tad too quiet during the day,
Theres a big shopping centre called west orchards, top floor debenhams coffee bar, nice big brown leather chairs, too expensive for chavs and great mochas!
theres saint marys guild hall which is stunning for your culture side and like i mentioned west orchards is probably the best for shopping we have here in cov.
Buses? i really wouldnt bother and it takes forever to get anywhere! around the world in 80 days.
Lunch, id suggest old orcleans its not right in the centre, not so loud and no drunks. My preferred option when eating out, they do a bar menu for lighter meals. Browns is ok, very studenty, bit dirty.
oh and wouldnt suggest the canal basin, one pub and one corner shop and a lot of junkies.
Have fun :)