can someone tell me if anyone know a good mystery book to read

What type do you like?  True Crime, Thriller, Cozy etc?

Might help with the suggestions.

what kind are there

Tammie - cozies don't have a lot of blood and guts, and are a more gentle read all together - no car chases or bloody fights.  Some readers complain that it's too easy to guess whodunit in a cozy.   Think Miss Marple in a more modern setting.

Suspense and thrillers will be more hard edged - sometimes explicit descriptions of violence, main character is often threatened and/or wounded. 

Romantic suspense is typically a female protagonist, who gets romantically involved with a cop or detective (or is a cop or detective) while solving a mystery.  In these (and regular suspense) you may or may not know who the criminal is - the suspense may be in the cat and mouse nature of investigation, or outwitting the criminal in the chase.

Police procedurals are like suspense, but the protagonist is a cop, and the inner workings of the police agence may play into the plot.