Chinook crate is dropped when the helicopter picks what monument it wants to land. The crate doesn't drop automatically, though, it takes five minutes for it to drop. What the Chinook does is it circles around every monument, then when it picks where it wants to land it drops and every player is alerted that the crate has been dropped. It takes fifteen minutes to open the crate. These crates can have very high tier loot or they could be really trash loot.
Attack helicopter crates are only seen when a helicopter is taken down. These crates do not have a timer, but they will be on fire when they crash. The fire will last three minutes before you can open these crates.
When an attack helicopter crashes it will have two military crates and three elite crates. The military crates can have a M249, C4, rockets, weapon attachments, Ak-47s and more top tier loot. The elite crates will give you top tier loot as well.
Bradley Crates are very similar to the Attack Helicopter crates. In order to get Bradley crates it will require seven high velocity rockets or two C4 when taken it will drop two or three military crates and two or three elite crates. The reason why Attack Helicopter crates and Bradley crates are similar is because the Bradley will sometimes give the same loot that the Attack Helicopter does. However, one difference is it's easier to destroy.
Oil Rig Locked crate is the same thing as any other locked crate except the locked crate is in a room that requires a red key card but to get to red card room you will need to swipe a blue card on a blue card door first. This is only needed when you are doing small but when you are doing large you will only need a red card. This is the same crate Chinook will drop. But the only difference is when the timer is started on this locked crate it will call Chinook in and will drop Heavy Scientists With M249, and Spas shotguns. It will drop 6 Heavy scientists