The best replacement for tftp is ftp.

The best alternatives to tftp are rated as following:
★★★★★  ftp
★  xmodem

Your alternative for tftp is not listed? Suggest!
Speaking about tftp, one probably shouldn't forget about dhcp server.

Other search terms related to tftp and their ratings are:

★★★★★ dhcp server
★★ pxe
You have in mind a companion for tftp and it is not yet here? Propose!

Google Trends

Scale is based on the average worldwide traffic of tftp in all years. Click on graph for more.