The best replacement for zoom h4n is tascam.

The best alternatives to zoom h4n are rated as following:
★★★★★  tascam
★★★  h2n
★★★  h6
★★  tascam dr-40
★★  juicedlink
★★  rode videomic pro
★★  tascam dr-100
★  tascam dr-100mkii
★  roland r26
★  tascam dr 100
★  tascam dr 60
★  sony pcm m10
★  tascam dr-05
★  olympus ls-11
  roland r-05
  sony pcm-d50
  edirol r-09hr
  olympus ls-10
  dr 40
  apogee one
  edirol r-09 comparison
  zoom h2n
  rode videomic
  tascam dr-60d
  blue yeti
  tascam dr100
  dr100
  edirol r-09
  rode shotgun
  tascam dr 40
  edirol

Your alternative for zoom h4n is not listed? Suggest!
Speaking about zoom h4n, one probably shouldn't forget about rode ntg-2.

Other search terms related to zoom h4n and their ratings are:
★★★★★ rode ntg-2
★★★★ shotgun mic
★★★★ external mic
★★★ rode videomic
★★★ canon 7d
★★★ lavalier mic
★★ sennheiser g3
★★ rode videomic pro
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Google Trends

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zoom h4n
tascam
h2n