Oh,please---I would hardly call Bollywood the worst film industries in the world---I've been into Bollywood flicks for just over a decade, and that is a major generalization if I've ever heard one. With all the junk/BS Hollywood puts out on the regular, believe me, Bollywood does not have a claim on making some of the worst films ever. I've seen films from all over the world, from many different countries, and you're going to find some good, some bad in ALL of them. And, heck,people see the same actors/actresses in Hollywood films all the time too--Tom Cruise, Sandra Bullock,Seth Rogen, Will Smith---that's nothing new or unique to any country with the population to substain a thriving film industry.
First, check out some films from director Ram Gopal Varma--his films tend to be way more gritty and realistic than the usual Bollywood stuff---see SATYA,COMPANY,D:UNDERWORLD BADSHAH,for example---they're all off the hook in terms of quality---I mean, his films tend to be very good, that is. I suggest you start with those---they're definitely worth it.
I also love the dance scenes,especially if they're creative and really good (or clearly hip-hop influenced) because I grew up on musicals, so I always thought they were cool as hell, and still do---they're the most fun part of a Bollywood film--besides the actual action and plot, that is.