Great topic! Some attractions at Disneyland I hardly ride are: Davy Crockett's Explorer Canoes, Tom Sawyer's Island, Mark Twain Riverboat, Sailing Ship Columbia, Star Tours, definitely Innoventions, definitely Honey, I Shrunk The Audience!, and Gadget's Go Coaster because they simply do not interest me or they really need to be replaced.
I hardly ever go on Mr. Toad's Wild Ride, Snow White's Scary Adventures, Pinocchio's Daring Journey, Alice in Wonderland (I honestly don't even know what the ride is like anymore), Peter Pan's Flight (by far the best dark ride aside from BLAB), Astro Orbitor, Roger Rabbit's Car Toon Spin, Gadget's Go Coaster, Casey Jr. Circus Train, Dumbo the Flying Elephant, King Arthur's Carrousel, Davey Crockett Explorer Canoes, The Many Adventures of Winnie the Pooh, Jungle Cruise.
And DCA: Mulholland Madness, Jumpin' Jellyfish (never been on it), Sun Wheel (never been on it), Maliboomer (never been on it), King Triton's Carousel, Grizzly River Run, Muppet*Vision 3D, it's tough to be a bug, a bug's land (never been on anything but the 3D show here), Golden Dreams (never seen it), and Redwood Creek Challenge Trail. I rarely ever go to DCA anymore.
Innoventions and HISTA are ones I just totally avoid. I don't get to go on the ones with height requirments enough due to having a little one that's only 2, but he like to go on everything else. He even loves to go on POTC.