I Suppose Gatti V Ward 1st comes to mind pretty quickly Also Ken Buchanan Vs Ismeal Laguna II is a favourite
A great display of skillful boxing, good action, and a highly competitive fight is Toney-McCallum 1. "Brawling" seems to be a fairly broad term, but Corrales-Castillo 1 was an amazing phone booth war. Incredible mix of violence and skillful infighting.
:deal boxer vs boxer I thought Toney vs Nunn was pretty good and even tho there's alot of brawling in there the Barrera-Morales trilogy has alot of high skill boxing and beautiful rapid fire combination punching you can really appreciate in the replays or slow mo. As for brawlers as of recent Salido-Lopez gave us a classic in the rematch.
Looking at your avatar I wonder how we can describe Sanchez-Gomez. Sanchez was a boxer that can punch and Gomez was puncher that can box.