I do it occasionally.
I use whichever guitar I'm in the mood to play (either my 314ce or one of my Martins).
I have a Carvin Stagemate amp that's battery powered. In this pic I also have a music stand because I was doing all Christmas songs, but usually I don't use one.
I just have:
Mic and mic stand
Battery powered amp and stand
It's a lot of fun, but check out the laws on where you plan to busk, because you may need a license and there may be restrictions on where you can play. It's completely illegal in my town, but the small town just inland from me actively encourages busking, but it's restricted to certain areas and they require a license ($15 per year).