The best replacement for h.264 is mpeg4.

The best alternatives to h.264 are rated as following:
★★★★★  mpeg4
★★★  mjpeg
★★★  mp4
★★  xvid
★★  mpeg2
★  prores
★  h.265
★  avi
★  prores 422
★  webm
★  divx
★  wmv
★  avchd
★  mpeg-2
★  mpeg 2
★  mov
★  mpeg
★  mpeg-4
  h.263
  vp6
  flv
  vc-1
  x.264
  mpeg 4
  h323
  quicktime
  apple pro res
  mkv
  vp8

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Google Trends

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h.264
mpeg4
mjpeg