Halo 3: ODST
As a speedgame, Halo 3: ODST is not as popular as the others in the series. Levels tend to be linear and there is a lot of walking between levels.
In Halo 3: ODST full game speedruns, you start on Prepare To Drop, and you are allowed to use a profile that has the audio logs unlocked. Runs on the original copy of Halo 3: ODST (including running on the backwards compatible version through Xbox One) are timed by adding up the times of the theater clips for each level. Because the Master Chief Collection cannot store all of the theater films for a complete run of the game, full game runs are timed on MCC as RTA minus loads. Individual level (IL) runs are timed using the time displayed in the post-game carnage report.
Halo 3: ODST uses the same engine as Halo 3, meaning that many Halo 3 tricks should be equally possible in ODST. However, tricks which rely on equipment are not possible, as enemies do not drop equipment.
Halo Runs record page: http://www.haloruns.com/records?lb=400 (click the timestamps for video links)
Audio Logs
Unlocking 8 audio logs in Mombasa Streets will allow you to use Mongooses. See this link for the locations of all audio logs in Mombasa Streets. Some will not be able to be unlocked until you progress through the game. Audio logs ready to be collected will glow yellow in the VISR.