The two rides mentioned in the crossword solutions are the Tilt-A-Whirl and the Ferris Wheel. The Tilt-A-Whirl is a type of amusement ride consisting of seven cars that spin around a central axis, while the Ferris Wheel is a large rotating wheel with gondolas attached to its rim. Both rides are popular attractions at amusement parks and carnivals, providing thrilling experiences for riders of all ages.