Pre2011, there's attempted crimes like murder, conspiracy to commit like fraud, and even thought crimes where discussing a bomb in a cafe can land you in indefinite imprisonment.
Minority report is distinctly different in that there's 100% assurance that a crime has been committed in the future, therefore the suspects are guilty.
[SPOILER BELOW]
As plot progresses, it is found that reading the computer that looks towards the future are human and there's no 100% certainty due to paradoxes among other past life twists. This lead to release of all prisoners (I think).
Minority report is distinctly different in that there's 100% assurance that a crime has been committed in the future, therefore the suspects are guilty.
[SPOILER BELOW]
As plot progresses, it is found that reading the computer that looks towards the future are human and there's no 100% certainty due to paradoxes among other past life twists. This lead to release of all prisoners (I think).