The two things that I have found that dramatically improved bottling day are a bottle tree and a vinator bottle rinser filled with star-san. I also hear that a bench capper can really speed things along, but I do not see myself buying one until the Emily capper craps out. My process really revolves around multi-tasking.
If you keep everything within arms reach, and you start with relatively clean bottles, you can hold the racking cane with one hand as you empty the carboy, and use the other hand to pump no-rinse sanitizer into the bottles, dropping them onto the bottle tree as you go. I find that it takes just about the same time to rack beer out of the carboy as it takes to sanitize 2 cases of bottles, so it is a huge time savings.
Once I am ready to bottle, I like to fill about 6-12 bottles at a time, cover them with a sanitized cap, then pick up the capper and crimp them all at once. It is a lot less shuffling around of equipment.
Joe