This might seem odd, but I would highly recommend playing with a keyboard.

You essentially only use spacebar and three of the arrow keys. You can rest three of your fingers on the arrow keys, which makes performing Hurricane Spins effortlessly easy as you just roll your fingers from one side to the other.

This alone will make the "Phantom Cannon" achievement much easier. Eventually you'll destroy enough cars to summon a police van (rather than just a sedan). Once the van starts shooting that spiked blue ball, just Hurricane Spin every time it comes back at to you — and position yourself to avoid dodging it entirely.

You shouldn't need to intentionally seek out a van. It will appear naturally while you're shooting for other achievements.

Sunday Driver is deceptively easy to get!

On the first stage if you entirely avoid crashing, avoid drifting, and avoid boost panels you'll finish with about 5 seconds to spare.

If you already crashed once or twice you might end with 0 seconds exactly. If you didn't, towards the end of the stage you can pull onto the side of the road to slow down and spend some time until you're near 0 seconds remaining.

If you don't quite thread the needle for exactly 0 seconds, you can restart or advance to the next stage and try again.

The best way I've found to get 250k points is to get two (2) Road Rages in a single run. Suffice to say I consider this the hardest achievement in the game.

Once you are in a Road Rage, spam Hurricane Spin. It is impossible for you to crash and you cannot slow down even if you wanted to, so spin to win nonstop. While Road Raging your spin clears basically the entire screen, including billboards on the side of the road and any cop foolish enough to be in front of you. This should net 80k or more points on the first Road Rage, and even more points on the second. The longer the stage (in Fastometers), the more time you spend in it, and the more points you can rack up.

As far as I can tell the absolute MOST important thing to getting a Road Rage is to avoid crashing. If you're getting more than one crash per stage it seems impossible. Even if you're Sunday Driving the whole way, you will eventually get to a Road Rage so long as you never crash; perhaps stage 11 or 12.

But my personal best run got a Road Rage on stage 7 and the second on stage 15. On this run I was driving extremely aggressively, destroying practically every car I saw and not even bothering to go particularly fast. I'm not sure I would recommend this as it makes avoiding crashes much harder, but it seems like anything you do to rack up points without crashing will make Road Rages happen sooner - and destroying cars is the fastest way to rack up points.

The best way to get to later stages, ironically, is to it play safe. Don't go for points. Go as slow as you can while still not running out of time.

For me the three things that end runs are (a) cops, (b) stage length, and (c) excessive traffic. The first two can be controlled, leaving you to focus on avoiding traffic as much as possible.

Stages only increase in length when you finish with excessive time. Finishing with 19 seconds or more on the clock seems to always result in the next stage having increased length. But, finishing otherwise has a chance to increase length, and that chance appears to be lower the closer you finish to 0 seconds remaining.

So to make these achievements easier, finish as long as close as you can to 0 and avoid increasing length. You can drive onto the patches on the side of the road to spend as much or as little time as you want without any other repercussion.

While a stage is at a length of 20 fastomers, you can easily finish it just by Sunday Driving. Even if you don't drift at all and avoid all turbo panels, you'll finish with several seconds to spare so long as you don't crash. If you're not drifting and staying at 200 Fasts/h it is particularly easy to avoid crashing.

If you avoid destroying other cars, you'll also avoid summoning cops, which make crashes much easier to avoid.

If you can end each stage with 0 seconds remaining I bet you could go indefinitely. I've never managed that myself, so boost panels and drifts might eventually become necessary to reach stage 25.

As you may have noticed, going particularly fast doesn't matter much for getting points or getting to the later stages. But it is vital to the Size Matters achievement. The maximum road length is 30 Fastometers, by the way.

As far as I can tell, the length of the next stage will always increase by 1 Fastometer if you finish with 19 or more seconds left on the clock. If you finish with less than 19 seconds there's only a chance for the next stage to lengthen, and I'm not sure what determines that chance, but more seconds remaining seems to correlate with a higher chance.

Thus for the "Size Matters" achievement your simple goal is to always reach the end as fast as possible.

If you finish every stage with 19 seconds or more, congrats on being a god at this game; you'll earn the size matters achievement on stage 11. The one time I did it I was on a much later stage.

How to Go Fast:
1. Avoid Crashing. Duh. Avoid destroying the other cars (to an extent), as that just summons cops. Don't bother doing crazy flips for points, as that might cause you to mess up. After the first couple stages crashing even once makes 19+ seconds seemingly unobtainable.
2. Red Drifts. At all times you should prioritize building to your next red drift. This is by far the best way to increase your speed, and the boost blows lesser drifts out of the water.
3. Boost Panels. Hit every boost panel, especially after a full drift boost as they'll keep your speed up for longer. If you're in the air and are about to miss a panel, with tight timing you can Divebomb down to hit it. Whether it's worth it to destroy another car just to hit a panel depends on how long the stage is and how well you're doing otherwise.

Stages seem to gradually get more difficult even if they don't lengthen. Traffic gets more dense and roads get windier, as far as I can tell. So you want to front-load your speedruns as much as possible. When the road is packed with traffic it's hard to build up those full drift boosts.

Getting a Road Rage will always lengthen the next stage. If you avoid crashing entirely you'll get one of those before stage 15 I'd wager.

These tips generally apply to the "Gone in 30 Seconds" achievement of course. That achievement is much easier to get, and your best shot of it is on the first or second stage.