These are the various alternate costumes you can unlock in Concrete Jungle. All it means is that the Predator's armor and appearance changes.
Concrete Jungle - Neonopolis, 2030
Default costume.
Jungle Hunter - Central America, 1987
Obtained in A Midsummer Night's Massacre (level 1).
To get this costume, you must kill the Irish boss in this level. He is not too hard to find, just look for the human with the red symbol over his head. Kill him to unlock the Jungle Hunter, which is the design of the Predator used in the movie Predator.
Ritual Armor - Neonopolis, 2030
Obtained in Under The Gun (level 8).
You must destroy three trucks scattered in this level to get this costume. The trucks are large and black. Unless you want to take damage destroying them, use your Plasmacaster to destroy them. First, go through this level until the curfew is lifted and the security cameras are turned off. The first truck is on the second level (third if you count the base floor) of the parking garage near where you started this level. The second is to the west of the parking garage, parked between two Matadores cars. The third is to the southeast, near the Neonopolis bank building. This is a costume of the armor upgrade for the Concrete Jungle Predator.
Alien Hunter - Antarctica, 2004
Obtained in A Night To Remember (level 14).
To get this one, you need to kill seven snipers in the courtyard. They are lurking around in the windows along the edge of the courtyard. It's best if you just sniper them with your Speargun! You can remain cloaked if you stay along the outer edges of this area. This is the costume of the Scar Predator in the movie Aliens vs. Predator.
Dark Blade Clan - Neonopolis, 2030
Obtained in Extinction Event (level 15).
You must kill the chief of police to get this costume. Use your cloak to get past the guards before they can lower the gate in the next room. You'll see him walking down the stairs, so kill him. This is a costume of the armor upgrade for the Ritual Armor Predator.
City Hunter - Los Angeles, 1997
Obtained in Bug Hunt (level 25).
You must kill 50 Aliens to get this costume. The easiest way to kill them is to hit a group of them with a Sonic Mine or a Pulse Mine, then use your Combistaff to kill them. You shouldn't have any trouble finding that many Aliens, as there are tons in this level. This is the design of the Predator in the movie Predator 2.
Bad Blood - Neonopolis, 2030
Obtained in The New Flesh (level 26).
All you have to do is destroy the computer to get this one. It's up on the highest walkway in the lab. Just run away from Hunter and go destroy it. This is the costume of Long Spear, one of the Bad Bloods you fight in Prey Of The Clan.