Try these:
We’re Back! – animated movie with dinos, released by Spielberg about the same time as Jurassic Park – I think he wanted to have a “safe” dino movie for little kids. John Goodman voices the T. Rex. Walter Cronkite is in it!
Dinosaurs by Will Vinton – a “Claymation” short available on its own, or on The Best of the Festival of Claymation. Highly recommended.
Dinotopia, the TV miniseries.
Prehysteria and its sequels – tiny dinosaurs in present-day suburbia.
I grew up watching a gazillion dinosaur movies, of vastly differing quality. If you just wanna see dinosaurs that move, and aren’t the heros of the story, try:
One Million Years B.C. – the Ray Harryhausen film. Daddies watch this for Racquel Welch in the fur bikini, but kids know the real draw is the dinosaur.
The Valley of Gwangi – Harryhausen again. Dinosaurs in the Old West
When Dinosaurs Ruled the Earth – Jim Danforth effects. Curiously, most of the beasties in this aren’t technically dinosaurs, but they are done well.
King Kong – the original, of course, with great Willis O’Brien effects. Also Son of Kong.
Planet of Dinosaurs – cheapie independent film, but with dinosaurs sculpted and animated by noted dinosaur illustrators like Steve Czerkas. Features a cameo appearance by Ray Harryhausen’s Rhedosaurus from The Beast from 20,000 Fathoms.
Baby, the Secret of the Lost Legend – sappy Disney film in which researchers find that the Mokele-Mbembi of central Africa really is a dinosaur. “Mbembi” gets corrupted to “Baby”, the name of the baby brontosaur. Mentioned because it features a sympathetic dinosaur. Also has Patrick McGoohan as a villain.
Trog is an awful film, but it’s about the only place you’ll find the Harryhausen/O’Brien animated dinosaur scenes from the now-vanished film The Animal World.
Caveman. Ringo Starr! Jack Gilford! Catherine or Barbara Bach! Well-done dinosaurs played for laughs.