25m Powerslide - Fairly simple with the right car. Just find a big wide turn, steer into the turn, and tap on the brake. Use something with a lot of drift and not a lot of grip. Concept car, F1, GTR, Cerberus etc.
10x combo - Cake. Do a cone challenge.
25k online Kudos - Just race in the Live Career. Easiest way is to find a friend and do the Dueling. Matchmaking is a huge pain in the neck, so be patient. Just remember to rack up the Kudos as you race. Should take about 7-13 races.
1K Kudos in a race - If you can't achieve this, just stop playing.
Kudos for every maneuver - Now for the tricky part. This must be done in a career race, either solo or online. The absolute easiest way to do this is on the Nurburgring in dueling. Just find a friend to let you zip around the track trying to get every trick. If not, the last set of challenges in solo career has some Nurburgring races to do this. Just set the difficulty to novice so that you can easily win the race. Use an F1 or TVR cerberus, or something with high speed and lots of drift that you're comfortable driving AND controlling. Now to the checklist:
****write all of these down before your attempt this. Keeping track of what you've pulled off will help. After each maneuver you pull off, pause the game and cross off your trick. This way you know what you have to do still.****
Drafting - just get behind another car while racing. Be careful not to hit them.
Overtake - Pass another car.
Fast Lap - Just set the fastest lap on the track.
Clean Section/Clean Race - IMPORTANT!!!!! You CAN NOT TOUCH a single thing while attempting this. Even if the touch does not interrupt your Kudos string, it will still cancel your Clean run. PERFECT RACING. The slightest grazing will screw this up. This is why Nurburgring is the best, since there's alot of grass/gravel to get into if you screw up a turn trying to pull the tricks.
***EDIT*** Multiple sources have cited that you can bump into cars and still earn this achievement. So if you do tap a car, don't sweat it for now and just try to finish the race with everything else. If the achievement pops, golden. If not, well, try again. Just don't rage/quit if you tap since it could still work for you.
E-brake slide - just press the E-brake into a turn.
Feint Drift - on approach to a turn, slap the car in the opposite direction right quick to shift the weight, then cut hard into the turn using the car's weight to drift you through the turn. It's hard, as sometimes you get power drift or power over.
Braking Drift - just use the regular brakes to drift through a turn
Power Over - Just gas your way into a slide around the turn
Power Feint - another tricky one, A combo of Feint Drift and Power over, let up of the gas, shift weight opposite the turn, then quick cut hard into the turn, and lay on the gas.
Braking Feint - Tricky as it will register as braking drift a lot of the time. Basically use less brake to drift through the turn. quick turn with a quick tap on the brake.
Braking Power Over - Stay on the gas and enter a turn way to fast, release the gas, THEN apply the brake to drift the car. make sure there's some grass/gravel behind the curve for this one to give yourself that extra cushion.
2 Wheels - Just clip a rumple strip with either the right or left side at a decent speed to jump two wheels. Easy on the back chicane.
Air - the very first turn on the ring in Duels is a hard downhill right. just line up in the gravel opposite the curve, and drive right over the rumple strip. You should hit air. If not, the back chicane can get you air if you just jump over the grass. Just be careful of the wall on the right at that turn section.
360 - Watch the walls, just pull a 360. ***EDIT*** Multiple sources have stated that the 360 is not needed. So don't sweat it if you can't pull this off, unless the achievement doesn't pop. Then be pissed :P
Hope this helps. Just practice the maneuvers until you're comfortable with how to pull each one off, then take it to a career or online race.