I'm not up to date what games are in arcades nowadays, but even a good full-on driving game (where somebody sits in a replica of the front of a car, and has a big windshield/windscreen in front of them) will give a good resemblance of how the steering behaves.  Of course the game will include far more hazards far more often than will be encountered in real life:  dogs darting into the street, flooding, children chasing a ball, deer, etc.
I think these games even include parallel parking, at some point.  Not sure.
You being in Singapore, travis82, consider yourself fortunate to be in a place where, until you're actually fully able to drive, there is an abundance of options.  You can go almost anywhere in your NATION, and you are limited only by what you can carry with you, and by transit schedules.  Singapore has a LOT of night life, though the schedule for getting out of, and back to, your neighborhood could be limited.
For some destinations within Singapore, the subway is probably a lot faster than driving in your busy city.
Do you have a lot of things you want to do in Malaysia and other foreign countries?  Perhaps you often visit a destination elsewhere in your city-nation which may take three or four trains/buses to reach, and driving may be faster.  Of course a car can be very handy for that.
There is of course the intangible and "priceless" feeling of having one's own "wheels" and I can relate to you.  I remember how liberating it was, when I got my own car after learning how to drive.  I felt that I could finally do what I wanted to do. Also I was a late starter (22 years old).  My fears about driving were very much like your fears now.  A year earlier, a cousin "broke through that wall" and showed me quickly that I would get through it and conquer the fears.
 However, it is also true that I was living OVER 5km distance FROM ANY CITY OR TOWN, in the United States which had only a primitive transit system at the time (1970) and mass-transit here is still inferior to many other countries, which is a big contrast to what you have.
Find your COURAGE...and run with that ball.  There's some very good advice here.  I'll be here, in a different part of the world, wishing you complete success on this important quest.