Hello,
I figured that I will add my ideas on intermediate.
When I moved on to intermediate I started doing projects that require planning, forging to size, and multiple piece projects. This includes trivets, tongs, signs, sculptures, calipers, Norfolk latch, traditional joinery, and much more. Learn how to make something that interest you. Make it to size and make all the tools for said project including jigs. This should keep you interested for the next few years until you figure out where you want to go with your acquired shaman skills.
Another idea is to advance your ability to create detail and interest in your pieces through techniques like chasing and finishing. This all really depends on what makes you want to continue to get out in your shop everyday. Hope this gives you some idea's. If not then I suggest reading more books on smithing and metal work :).
Thanks for reading my two cents.
Below was a project I did at about two years exp.