The best replacement for h4n is tascam.

The best alternatives to h4n are rated as following:
★★★★★  tascam
★★★★  h2n
★★★★  h1
★★★  h2
★★★  h6
★★★  h4
★★  rode videomic
★★  h6n
★★  dr 40
★★  tascam dr-40
★★  juicedlink
★★  rode videomic pro
★  tascam dr-100
★  dr 100
★  tascam dr 100
★  dr100
★  pcm-d50
★  q3hd
★  dr100 mkii
★  dr-40
★  sony pcm-m10
★  shotgun mic
  tascam dr100
  r26
  beachtek
  dr-100
  tascam 40
  edirol r-09 comparison
  edirol r-09
  rode
  pcm-m10
  sony pcm-d50
  edirol r-09hr

Your alternative for h4n is not listed? Suggest!
Speaking about h4n, one probably shouldn't forget about lavalier.

Other search terms related to h4n and their ratings are:
★★★★★ lavalier
★★★★★ rode videomic
★★★★ external mic
★ shotgun mic
★ lavalier mic
★ rode ntg-2
canon 7d
You have in mind a companion for h4n and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of h4n in all years. Click on graph for more.
h4n
tascam
h2n