Redmi Note 2, Zenfone 2 Laser. Redmi Note 2 would be best bang for buck in ur budget imo.
Which versions are u talking bout? 2gb or 3gb RAM? If possible, go for 3GB RAM versions. And also ur budget? coz if 2gb RAM version, both is in the range of 800-1000, if 3gb RAM version, it's 1000-1300.

imo, Snapdragon 808 > Mediatek Helios chipset. But if u absolutely need the fingerprint scanner, 4000mah battery and bigger display, then go for Redmi Note 3.

in terms of gaming, Snapdragon 808 shud perform better. But the Helio x10 is enough if u don't game much, for normal daily usage, it shud be more than enough.

In terms of display, both uses the same IPS LCD display. So it should be the same.

For Note 3's battery life, still nid to wait for actual review. Coz M5 also uses the same processor, and it's battery life it's just okay. Not that superb. Might be a problem with the Helio X10.

Have to buy imported sets only. I have a friend selling it quite reasonable for the 3gb/32gb version.