docker run -it -p 3270:3270 rbanffy/vm370
Then connect your 3270 client(s) to port 3270 on localhost and play like it’s the 1970’s.
Disclaimer: that image has a 370, the successor of the 360.
For this image, user CMSUSER has password CMSUSER, user MAINT (has more privileges) has password CPCMS. I now forgot the password for OPERATOR. I’ll post it here when I remember what it was. This image is built on the Sixpack distribution of VM/370. Google for it and you’ll find lots of information.