Here's another movie, this time 2-player Paris:
http://tasvideos.org/userfiles/info/47797322823909438
Video comparison:
https://yadi.sk/d/hh3tOxg33Xsjnw
00:03.87 seconds faster (in-game time for this game is quite accurate to real time frames).
You might think it's not that much. But this is just one track. See how many rerecords it took me. Of course I don't know this game that well, so a lot of them come from familiarizing myself with it. But after I did so, I want to say that your run lacks planning and serious optimization.
I'm not saying my attempt is fully optimal. But check out my usage of Nitro and gears, as well as acceleration management on turns.
If you beat me on that track, I might consider the result optimal enough to be accepted, but again, this is just one track. The same amount of planning needs to be done throughout the entire game!
I don't know if you want to work on optimizing it for real, but if you try, post your progress on forum after each level. That way people will be able to check optimality of your work before it's too late. Use userfiler to host your WIPs.
http://tasvideos.org/userfiles/my#uploadfile