Note 3 Neo users are very lucky as xda users have developed a ROM that brings almost all features of Galaxy Note 4 to the Note 3 Neo.
Aroma installer
Two Boot animations
Two Themes (Note 4 White and S5 Stock)
Download the ROM from here and for better stability flash this kernel too. Features of this ROM are given below.
Fully Deodex + Rooted + busybox
S5 Touchwiz
Air command toggle
Air message
Wallpaper Alpha & Note4 in homescreen and lockscreen
S5 Statusbar
S5 Setting
S5 Lockscreen + 8 Effect
S5 Mini Music
S5 Mini Video
S5 Gallery
S5 Mail
Widget Meteo Galaxy Alpha
S5 Mini Clock
S5 Mini SStudio
S5 message
Playstore v5.0.31
S5 Group Play
S5 Polaris Office
Framework with new animation