Elevators, or lifts as we call them, don't bother me in fact I like then because my legs don't like walking up stairs any more. Escalators are interesting whether you like them or not depends a lot on their pitch and how long the approach is before you reach the part that escalates. The ones that I dislike most are the ones in shops which are often quite steep and have short run-ins so you can see the bottom before you step on them and if you don't like heights, like me, these ones can be scarry to ride especially in the downward direction. Generally the escalators on the London Underground are a shallower pitch and have a long enough run-in so you can't see the bottom when you step on them.
Fun Fact: The longest escalator on the London Underground has a rise of 90 feet and is 200 feet long.
The world's scariest type of lift is the Paternoster, they have no doors and never stop moving so you have to jump in and jump out when you reach the floor you want. They've been banned in the UK over heath and safety concerns. I've seen one, but never had the courage to use it.
Lifts, or elevators if you prefer, have multiple safety features to prevent them from crashing to the ground.