I think the stigma of elvers/dwarves/orcs being "Tolkien"-heavy is going away, slowly, and we can help.
Make your elves/dwarves/orcs super modern. Strip away their usual behavioral tropes. Look also to other types of the same: lots of Nordic dwarves were neither short nor stocky, and while Dunsany (and later Tolkien to much greater effect) popularized the tall, noble elven race, there are lots of legends abnout elves being short, lithe, and trickstery (like the elves in The Enchanted Forest Chronicles, or Legend). Orcs, being largely a Tolkien creation, have little basis in myth, but trolls can range from rock-skinned things that petrify in the sunlight to large, hairy beasts that haunt bridges and request weird tolls. Maybe in your version of Shadowrun, every Troll has the compulsion to pick an intersection--and charge a toll; maybe those intersections don't need to be physical, and people can get creative...
I don't know. If you want to break the mold, you can.-