Is there a modern equivalent to instant messenger file transfers?

Back in the 90s and early 00s in the age of ICQ and AIM (and other similar desktop messengers), direct file transfers were a standard feature in every messenger. If I understood correctly, this was a direct connection between two client users.

Nowadays the options for file transfers typically involve using some web services. One user would upload the file to some service, and it would be available for an http download by the other user (even if the link is protected).

As far as messengers go, most users use a mobile one now (understandably), and file transfers naturally aren't a part of standard featuresets (also understandably). What options do we have nowadays to send files to friends directly, on a computer, if we do not wish to go through uploading to a web service?