The House of the Dead 3 was originally released in 2002, while The House of the Dead 4 found its way out in 2005. With PlayStation Move support, both games should play as they were intended with light guns, though it's unclear whether PlayStation Move support is optional or mandatory.
The House of the Dead 3 will launch on PSN on February 7th, with The House of the Dead 4 following sometime in the spring.