“A Killer Next Door” (**1/2 out of four) was a reasonably gripping suspense thriller about a teenager (Harriet Rees) who begins to suspect that her neighbor (William Meredith) is a fugitive murderer underneath his friendly exterior; meanwhile, a hard-nosed and determined cop (Phillip Roy) tries to close in on him and take him in. Based on the true story of a mass murderer John List who was the inspiration for the 1987 cult classic “The Stepfather”; this film isn’t in that same league and is hindered by familiar genre conventions but is still pretty suspenseful and watchable. Meredith is creepy as the neighbor and killer.