Passing motorists stuck at lights, covering city blocks unhindered by the stop and go of the masses in commute. It’s liberating to be able to park anywhere a lock will hold, and feel the stiffness in the legs that got you to your destination. Your range is unimpeded by MPG’s and speed limits.
Biking exposes you to a different side of your city's roads - a side that automakers have worked so hard to mute with shocks and springs. A road and the rider live as example of Newton's third law; adapting and reacting to one another, creating a unique experience everytime they meet.
In contrast to walking or driving through a city, your legs carry you at the perfect viewing speed as the city unfolds around you like a montage from a movie. You're in one place long enough to appreciate it, but you're gone in enough time to not take it for granted. This way each moment becomes special, a distinct snapshot of the trip. Together these snapshots begin to reveal something greater, another side to your city. You begin to appreciate the patterns of humanity that flow through it, the hustle and bustle of everyone going through their respective days.
Riding a bike forces you to notice these things. Hyper-awareness is a necessity for not being run over, or running someone over, but the peripheral benefit is getting to know your city in a whole other way.