Punk Rock

Punk Rock is essentially any fast rock band that is made by someone who wants to form their own band to make what they want without being controlled by record companies, most of these hate authority but sometimes a punk band may even have nothing to do with politics at all.
Once they sign to record companies that means they become rockstars or they "Sellout" and aren't considered a punk band anymore.
Even if the subculture isn't big punk rock will always exist so long as you got Guitar, Bass and Drums.

Punk Rock isn't dead!
Anyone can make a punk rock band at anytime but not all of them get famous.

Goth

Let's say what's not Goth!
Emo is not Goth; emo bands are bands that are angsty and emotional like Fall out boy, silverstein, rites of spring and falling in reverse; Emo wasn't dark in any way until My Chemical Romance started making their fashion darker.

Death metal bands such as Cannibal Corpse is not Goth; death metal is metal so if it looks very gory and they're band name is chaotic or violent like "Mayhem" or "Slayer" it's Extreme Metal, Not Gothic Rock!

One metal stereotype that gets confused with Goth a lot is what I call black metal: bands that sound really heavy and satanic, wear corpse paint, bullet belts and satanic crosses and stars, stereo typically this group is also blamed for church burnings.

So what is Goth?
Goth is wearing pale make up, black clothes, fishnets (if one wants to), and listening to a genre called post punk such as The Cure, Sisters Of Mercy and Siouxsie & The Banshees.

Goth is not Evil.

Black Metal: "I'm gonna listen to Mayhem and be Satanic"
Emo: "I'm gonna listen to Fall out Boy and draw anime"
Goth: "I'm gonna listen to The Cure and drink coffee"

Emo

-1. To Metal Heads an emo band is a band that isn't brutal enough to be Thrash Metal or Death Metal.
-2. To Punk Rockers emo bands are like punk rock bands that don't spread Anarchy.
-3. To Goths, emo bands are "emo" because things like My Chemical Romance are more angsty than The Cure; Goth

and emo are both alternative rock but aren't the same music or fashion.
-4. Emo is sometimes used as an insult towards anyone with depression.
-5. Emo is a subculture with dark clothes, bright accessories (arm sleeves, necklaces, piercings), dyed hair, eyeliner, skater shoes and music that's too expressive to be accepted by other subcultures and doesn't sound Goth.

"X" is not metal, they're Emo!