People have mice in the States.
And we do have geckos in the States too, but not many of them are the size of an adult hand. We had one yesterday using our curtain as a playground. Lizards come to visit periodically--they are more afraid of us than we are of them. We have spiders (more often in our other house) the size of a large yogurt container lid, hairy and flat on the wall. They're as common and as harmless as Daddy-long-legs in the States.
It's the cobras that get the strong reactions--hooded cobras. Our friend who is living in Andy's parents' old house discovered one in the office in a corner. It hooded up as she walked in the door.