I would sort this beginning list by area of appearance from the get go, but my copy hasn't arrived yet, so I can't. Following the list, I will describe some monsters, and some will include locations.
As far as name translations go, I've gone with what I've liked the sound of. These translations are incredibly tentative and most likely won't appear in the final English release, and they mainly exist for the purpose of making the enemies seem a bit less foreign to players. However, some translations are currently official.
PSICOM治安猟兵
Public Order Hunters
PSICOM治安兵
Public Order Soldiers
PSICOM特殊戦術士
Special Tactics Commander
ゲパルト烈爪
Violent Claw Gepalt
戦闘爆撃機カルラ - Kalra Bomber
ベヒーモス改 - Revised Behemoth
重攻撃騎マナスヴィン - Heavy Attacker Manasvin
プリン衛生兵 - Pudding Orderly
ベジタプリン - Vegetapudding
ブラッドバス - Bloodbas
グレムリン - Gremlin
ヘッジフロッグ - Hedge Frog
ガスト - Ghast
グール - Ghoul
ゴルゴノプス - Gorgonops
キングベヒーモス - King Behemoth
ゴブリン - Goblin
アンフィスバエナ - Anfis Baena
ジャボテンダー - Jabotender (Jumbo Cactuar)
サボテンダー - Sabotender (Cactuar)
アダマンタイマイ - Adamantaimai (Adamantoise)
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Heavy Attacker Manasvin
Boss fight - Hanged Edge (Lightning)
Special Tactics Commander
Boss fight - Hanged Edge (Lightning)
Revised Behemoth
Boss fight - Hanged Edge (Snow)
Ghast, Ghoul
Cie corpses
Adamantoise
Found on Pulse
King Behemoth
Found on Pulse
Cactuar, Jumbo Cactuar
Found on Pulse