In local elections, i often will vote for the underdog party
When I used to live in a very Republican area (Orange County), I'd often vote for Democrats in their local elections. Of course I won't pick any random Democrat.. I'd be a bit biased and pick a Democrat with views that I at least somewhat liked, even if I honestly thought the Republican was better.
Now, I live in San Francisco which leans very heavily towards the Democrats and I'd vote for mostly Republicans to be elected to their local government.
I'm a Moderate and I don't really subscribe to either party but I believe that competition between the major political parties helps make the world a better place and I'd hate to see either party dominate over the other.