The best replacement for hdmi is dvi.

The best alternatives to hdmi are rated as following:
★★★★★  dvi
★★★★★  component
★★★★  vga
★★★  optical
★★  component video
★★  displayport
★★  component cables
★★  composite
★  optical audio
★  dvi-d
★  component cable
★  s-video
★  thunderbolt
★  rgb
★  coaxial
★  vga quality
  mini hdmi
  dvi better
  dvi gaming
  vga better
  sdi
  usb
  rca
  optical for audio
  coaxial cable
  hdmi with ethernet
  component cables for hd
  high speed hdmi
  hdtv
  scart
  hd
  dvi for gaming
  toslink for audio
  coaxial cables
  dvi quality
  s video
  component quality
  optical cable
  dvi monitor
  component video cables
  digital optical
  component xbox 360
  hdmi 1.3
  fiber optic
  optical for sound
  optical cables
  dmi
  composite video
  analog
  rca cable
  spdif
  coax
  component ps3
  active hdmi
  rca cables
  ethernet
  dvi d

Your alternative for hdmi is not listed? Suggest!
Speaking about hdmi, one probably shouldn't forget about hdcp.

Other search terms related to hdmi and their ratings are:
★★★★★ hdcp
★★★★ audio
★★★ ethernet
★★★ sound
★ ethernet cable
★ arc
★ audio out
★ cable box
★ hd
★ usb cable
macbook pro
optical out
xbox 360
wii
ps3
rca
mac
audio cable
rca audio
av
hdtv
hd upconversion
optical audio
av cable
optical
av cables
720p
vga
box
ethernet why
hdmi receiver
You have in mind a companion for hdmi and it is not yet here? Propose!



Google Trends

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