Look at it a different way. Everyone can and regularly does enjoy things they don't relate to strongly. However, everything everyone is interested in is not well represented in the media. Someone may be able to watch a show about anything but will find it harder to be cast in a role on such a show because of their race. Lots of sitcoms about white families, not so many about asians; Native Americans are often treated like folk characters, etc. So they organize to support each other and create the stories they feel aren't being told and the roles they have trouble finding. And people who support those ideas support their organization. And so you end up with racially focused organizations and audiences. Not because they are unable to watch something like Seinfeld unless it has a black person cussing, but because they'd like to see more minorities have a wider range of roles in the entertainment you don't relate to.
From the old "
Mako dies" topic:
"
"Of course we've been fighting against stereotypes from Day One at East West," Mako said in a 1986 interview with The Times. "That's the reason we formed: to combat that, and to show we are capable of more than just fulfilling the stereotypes — waiter, laundryman, gardener, martial artist, villain."
The company's mission soon expanded to include training writers. "Unless our story is told to [other] people, it's hard for them to understand where we are," Mako said."
Which is someone who helped found such a group explaining part of the reason why it was done. Whatever your opinion of these kind of groups is, they generally aren't formed because someone has it in their mind that they can only enjoy entertainment featuring a particular minority group.