None of the following are tutorial-like, just reference material. All will eventually come in handy though, so good to know; of interest would be:
- HLASM Programmer's Guide
- HLASM Language Reference
- HLASM General Information
- MVS Program Management: User's Guide and Reference
- MVS Assembler Services Guide
- MVS Authorized Assembler Services Guide
- z/Architecture Principles of Operation
You can find the books for the z/OS version you're on at IBM doc library:
z/Architecture Principles of Operation ("the POP manual") is the system bible. Of immediate interest in that book would be chapter 7 which lists the instructions and instruction formats.
For tutorial material though I can recommend (these are all on my bookshelf) any of the following:
- Mainframe Assembler Programming by Bill Qualls (this one comes with an emulator, PC/370, for compiling and running assembler)
- MVS Assembler Language by Kevin McQuillen and Anne Prince
And after you've mastered the basics:
- Advanced Assembler Language and MVS Interfaces For IBM Systems and Application Programmers by Carmine A. Cannatello
If you have questions you can, use stackoverflow of course, but for a more mainframe-centric pool of brains to pick, try http://ibmmainframeforum.com/. It isn't highly active, but the moderators know the dark arts.
Have fun!