How do you get rid of bugs that look like a lady bug?

I can't imagine anyone wanting to get rid of ladybugs. The number of aphids and spider mites they consume more than makes up for any possible annoyance they might cause. If you have lots of them, that means they are finding lots of food -- i.e., the aphids and spider mites they eat. If you take out the ladybugs, their food supply will probably grow out of control very quickly, and then you'll have a lot bigger problem.

That said, I think praying mantis (insects of the order Mantodea) might feed on ladybugs, but I'm not sure. I've just never come across anyone wanting to eliminate the ladybugs!