I'm a bit late to the party, but I have some good recommendations.
For horror comedies, try Shaun of the Dead, The Visit, Krampus, Cabin in the Woods, Zombieland, What We Do in the Shadows, Gremlins, The Lost Boys, Tucker and Dale vs. Evil, Tremors, Evil Dead II, Army of Darkness, Only Lovers Left Alive, Dead Alive, An American Werewolf in London, Re-Animator, The Frighteners, and Arachnophobia.
For films similar to the comedies you listed, try Hot Shots, The Naked Gun, Young Frankenstein, Spaceballs, Silent Movie, Robin Hood: Men in Tights, Dr. Strangelove, Bruno, The Dictator, History of the World: Part I, The Producers, High Anxiety, Caddyshack, Animal House, Stripes, The Blues Brothers, Ali G Indahouse, The Brothers Grimsby, and Ace Ventura.
For other comedies, try This is the End, Anchorman, the Jump Street Movies, Spy, The Wolf of Wall Street, The Truman Show, Snatch, The Hangover, The Big Lebowski, Silver Linings Playbook, The Grand Budapest Hotel, Ted, Deadpool, Groundhog Day, Kick-::dolphin noise::, Superbad, Men in Black, Kingsman, Monty Python, Hot Fuzz, American Pie, The 40-Year Old Virgin, Knocked up, We're the Millers, Tropic Thunder, Home Alone, In Bruges, Dumb and Dumber, Wedding Crashers, Easy A, Scott Pilgrim, 50/50, Meet the Parents, The Simpsons Movie, The Breakfast Club, Pineapple Express, Being John Malkovich, There's Something About Mary, Burn After Reading, Mean Girls, Ferris Bueller's Day Off, Moonrise Kingdom, O Brother Where Art Thou, Forgetting Sarah Marshall, Pitch Perfect, Fear and Loathing in Las Vegas, 10 Things I Hate About You, The Graduate, School of Rock, The Royal Tenenbaums, Almost Famous, Office Space, Thank You for Smoking, Annie Hall, Paul, Beetlejuice, Ghostbusters, Seven Psychopaths, Old School, The World's End, Austin Powers, Rango, Kiss Kiss Bang Bang, The Nice Guys, The Big Short, I Love You Man, South Park, Happy Gilmore, Harold and Kumar, Big, Adaptation, Who Framed Roger Rabbit, Chef, Fantastic Mr. Fox, Team America, Rushmore, and...::dolphin noise:: it, I could go on for decades. I'll end here.
Good starter horror should be films that are PG-13 and below, since R-rated films usually are a whole lot scarier. I was kind of cheating with the horror comedies since a good chunk of those are R, but whatever. Try watching The Birds, The Others, Invasion of the Body Snatchers '78, Poltergeist, 10 Cloverfield Lane, I Am Legend, The Ring, Cloverfield, World War Z, Insidious, What Lies Beneath, Drag Me to Hell, The Woman in Black, and Mama.
And yes, I didn't put Jaws and The Sixth Sense there because I don't consider them horror. I also consider World War Z horror, so go figure. Watch them if you'd like though.
