Here is a list of all the game modes in Call of Duty: Ghosts and their official descriptions.

• Blitz – Make it to the portal on the enemy’s spawn point.
• Cranked – Kill enemies before the timer ends. Each kill restarts the timer.
• Domination – Capture and hold the flags. Every two seconds a flag is held, the team gets a point. First team to 200 points wins.
• Free-for-All – Every man for himself. First player to 30 kills is the winner.
• Grind – Recover dog tags and take them to the objective marker to score for your team.
• Hunted – Available in both team and free-for-all. Resources are limited. Fight for control of weapon drops to gain superiority.
• Infected – Eliminated players become Infected. Last player to survive when the timer ends wins.

• Kill Confirmed – Recover dog tags to gain points for your team. First team to 100 points wins.
• Search and Destroy – Teams take turns defending or trying to destroy the objective.
• Search and Rescue – Teams take turns defending or trying to destroy the objective. Recover dog tags to allow or deny respawns.
• Team Deathmatch – Kill players on the enemy team. First team to reach score limit wins.

Thanks to mute0909 for the list.