It would be useful to create an index of authors (other than Shaikh, whose work is already available on this site) who are working within the framework of Real Economics and list their relevant publications. If people reply to this post with authors and publications, I can compile an index in the first post for convenience.
Johnson, Nathan
Khan, Haider
Lafalla, Victor
-Real Competition and Profit Rate Equalisation: Theory and Evidence from the Norwegian Economy
Mejorado, Ascension & Roman, Manuel
-Declining Profitability and the Evolution of the US Economy: A Classical Perspective
Mokre, Patrick
Mokre, Patrick & Rehm, Miriam
-Inter-Industry Wage Inequality: Persistent differences and turbulent equalization
Tsoulfidis, Lefteris & Tsaliki, Persefoni
I know some students at the New School are working on this vein as well: in particular, Daniel Younessi.