The wikipedia page on computational resources states that there are many different resources that have been defined:
In computational complexity theory, a computational resource is a resource used by some computational models in the solution of computational problems.
The simplest computational resources are computation time, the number of steps necessary to solve a problem, and memory space, the amount of storage needed while solving the problem, but many more complicated resources have been defined.
Unfortunately, this claim doesn't have a citation.
What are these more complicated resources that have been defined?
I can imagine something like parallel processes used?
the wikipedia talk page talks about communication bandwidth: e.g. network bandwidth, and memory busses. ( this seems fairly "processor-dependent"? Not sure if there is a theoretical analysis of this).