Wow this takes me back. I haven't had to deal (much) with mail-agent comparisons for more than a decade.
I've worked with both for both Exim and Postfix, long ago and far away. Based on my memory: Exim is more monolithic and quite a lot easier to understand for an SMTP newcomer to admin while Postfix is faster, more modular, and takes a little more effort to install and maintain. GPL purists will also prefer Exim. Functionally and feature-wise they're nearly identical, and both appear to be actively maintained. HTH