RS-232 Serial Cable
The WonderSwan extension port supports 9600 and 38400 baud UART transfers - it is used for connecting two consoles together, as well as peripherals like the MobileWonderGate. An official PC adapter was produced by Bandai and bundled with the WonderWitch; however, it is difficult to find today.
RS-232 serial adapters
Some serial adapters connect to a computer via a DB9 (RS-232) cable.
DIY projects
MAX3232 adapter
Junkbox.info provides a tutorial and schematic in Japanese on assembling an RS-232 adapter using a scavenged extension port connector and an MAX3232 or compatible chip.
USB serial adapters
Other serial adapters connect to a computer via USB directly.
Products
RetroOnyx USB Link Cable
The RetroOnyx USB Link Cable is a ready-made USB serial adapter. Notably, it uses a proper replica of the extension port connector, as opposed to repurposing an HDMI port.
DIY projects
FTDI TTL-232R-3V3 adapter
Zerosquare has written a tutorial in French on how to assemble the adapter using a scavenged extension port connector and an FTDI TTL-232R-3V3 cable.
ExtFriend
The ExtFriend is an Raspberry Pi Pico (RP2040) firmware which implements USB serial port adapter functionality. In addition, it can optionally act as a headphone adapter for USB audio capture.
Port Zero has written a tutorial in Japanese on how to assemble the adapter using an HDMI connector.