I decided to design this when I was starting prototyping an other project, and wished I had something similar. After a quick, unsuccessful query on Tindie (this is something similar, but not designed for breadboard, and not OSHW), the next thing I noticed was that I have Kicad open and I'm laying out this board. It's nothing groundbreaking, but as you can see on the pictures, it's directly pluggable into breadboard, and It can also power your breadboard circuit from the USB port, so I'm sure it can come handy sometimes to everyone on Earth.
The schematic is pretty much the default design for the CH340G chip, plus there is some ESD protection on the USB line (USBLC6-2SC6), and a 3.3V regulator with jumpers to select the output VCC and the line voltage.
And of course some LEDs for power and the TX/RX lines, as blinking LEDs are mandatory for any useful gadget.
The PCB is designed with Kicad, it's double sided, but possible to build it on single-sided board as well. You can find all of the CAD files and documentation over at Gitlab (Github mirror), so here I just show a teaser in the gallery.
The usage it's pretty straightforward: just plug it into your breadboard, connect the UART lines to your circuit, select the operating voltage with the jumper, and connect the USB cable to your PC. If you are using any {r,d}ecent Linux distribution, the CH340G driver most likely is installed on your machine. If you are on Windows, you have to click around a bit, see for example the tutorial at Sparkfun