It's almost entirely the more in-depth stuff. For example, differences I find annoying include seeing raw ajax values, re-runnning those queries, and how Chrome can't select individual log levels to view in the console.
On top of that, various parts of Firebug's console UI was better than either one's current console, mainly in how it displayed data.
On top of that, various parts of Firebug's console UI was better than either one's current console, mainly in how it displayed data.