Three things that counter...

Morphling is countered by AA's ultimate ice blast. Disruptors glimpse and Rubick's spell steal(because all of a sudden Rubic is a tank.)

Night stalker is countered by: observer wards, Town portal scroll and Tinkers lazar (since he can back up tp to save a team mate wit hit)

Faceless Void is countered by Heavens Halberd, MKB, and sheep stick.

A good way to fight Enigma is Beast master roar, Veng's swap and Nagas sleep (this is because even if Enigma has bkb Nagas team will be safe during the black hole).

MKB does nothing against Backtrack.

As an experienced Faceless Void player (probably my favourite carry) I know that his worst enemy is Blinding Light: its AoE is bigger than your Chronsphere and you can't do anything but buy a Monkey King Bar if the enemy KotL always stands behind his teammates. As Keeper of the Light is a top pick and a good support, you should note this.

Cancer Lancer is countered by Axe's Counter Helix, Medusa's Stone Gaze, and Dust of Appearance.

Edit : Oh. Another necro-post, sigh.

Visage countered by:
Large health pools. (wont die before gargoyles and slow runs out)
Dead Gargoyles
erm... bad gargoyle control?

Those aren't counters. :facepalm:
Your opponent being a bad player isn't a counter, it means they're a bad player.
Gargoyle's are primarily used for their stuns, not their attack damage, so a large health pool isn't a direct counter.

Three counters for Visage include AoE Physical damage (Sven, Medusa, etc...), Silences, and Mana Burn.

Night Stalker's Void also ministuns, so TP scrolls are no good.