Is there a tutorial an FASM syntax that is [color=]easy[/color] to understand, that isn't fasm documentation itself?

If you know some other assembler, the FASM doc's are exactly what you need.
If you are beginner in assembly programming, there are some tutorials from Vid, you may try a search of the board for them.
There are also tutorials of Iczelion, translated to FASM syntax, try a search in the board too.
Recently, there are some interesting articles about FASM programming on the russian site: www.wasm.ru but they are on russian language. If you can read russian, you have to take a look.

Regards.

note that my tutorial is not to be used alone, download also other tutorials. Iczlion's one is for ASM programmers to learn windows, i dont recommend it for starting.