Kingdoms of Amalur: Reckoning

You can get this achievement as well as the Crime Dosent Pay achievement. Once you have enough money saved up Select any town you wish , Walk up behind any one and press RB to go into sneak mode. Make sure you are not hidden and you have a 90-100% chance of being caught. Pickpocket any item off of them and have them call the guards and let the guards catch you. Select to pay your fine and have your crime cleared. You can pickpocket the same person over and over as long as they have items to be taken. Do this over and over 25 times and the achievement will pop. During the process You should end up getiing the Crime Dosent Pay achievement for spending 10,000 gold on crime bribes.

This method requires approximately 50000 gold, and you don't have to run around looking for filled pockets to pick.
Save your game before executing this method and reload to get your gold back afterwards.

Find a nearby guard in town, put off npc safety and attack him. He'll interrupt you with dialogue and when prompted, pay the fine.
Since paying the fine is your standard option and npc safety turns back on after a cooldown, the only thing you need to do is hit X (attack) X (skip dialogue) A (pay fine) X (skip dialogue again) in rapid succession. It shouldn't take more than a few minutes, the only thing you need to look out for is that you don't kill the guard, simply move to another one if he's low on health. There should be several nearby as they all come running when you commit a crime.
It's not a disaster to kill him, but the fine will be much higher than regular assault.

Do this 25 times and the achievement will unlock, with 'Crime Doesn't Pay' along the way.

Though the Guides Already mentioned are Awesome.. I found a way to get the Crime Achievements and Get EXTRA space for you Bag! Once you get to Mel Senshir find lllyn Doldran, he is one of the 6 sellers that have a backpack for you, once you Bought the backpack, select the up directional pad and KILL HIM, yes yes... KILL HIM!!! Let the guard get to you and Pay the Fine. Go to your House in CANNEROC and Sleep for 4 days. Go back to Mel Senshir and he will be there Again. (Carefull He might be Trap on the pillar, Curious bug) Only worked for me in the House of Canneroc,

You Will need 8.000 coins for each backpack and aprox. 20.000 for paying the fine of each Murder

So... 25 Crimes... 25 Backpacks 250 slots for Coool Rubish stuffs for sell!

It's INFINITE Glitch!

Happy Hunting!

Super easy, super fast. You only need about 23,000 Gold.

Go to Gorhart and pickpocket the guard outside the tavern and pay the fine. 871 Gold I think.
Then do the same to the guard walking around the tavern and the one at the jail. They should all be pretty close to you, since they run toward you when the first guard calls.

Then go inside the tavern and back out. The gold in the gaurds pockets should refresh for a few times. when that runs out, hit up the lady walking between the tavern and the jail. and the farming couple accross from the tavern. there is also a man on his knees before the stairs to the church type area. Took me five minutes.

Another possible solution for this achievements comes a bit later on in the game during the Travellers questline. There is a quest called "Outside the Box".
The Hierophant sends you out to collect a certain item. Within the quest, you will have to steal that certain item from the Adessa Armory. The Adessa Armory is guarded by some gnome guards, that will arrest you when being detected.
So what I did was to run into the Armory and started a little rampage, stealing stuff from the chests around until I got detected. Being detected results in a 421 gold fine. After you paid the fine you will find yourself outside the Armory again and can start anew until you get the 25 crimes.
Doing this 25 times took round about 20 minutes plus I also got the achievement (25x421=10525; you can even add a larger fine by stealing items from the Armory before being detected).

I got this in Ysa Village. Equip a low level dagger and Just go to any Ysa citizen, enable aggressive mode and attack the citizen. The crime "assault" will show up and guard comes rushing towards you. The fine should be just around 480 Gold. Enable aggressive mode and attack again. The guard who just stopped you should be very near and will again confront you. Pay fine. Repeat 23 times more. If the citizen is dead, find another one. With low level dagger the citizen should survive 25 assaults.