The "v1.09 + 6 DLCs" version typically includes the following major story expansions:
Lincoln joins forces with Roxy Laveau to take down a corrupt sheriff in a rural parish. The "v1
Set in 1968 in the fictional city of New Bordeaux (a reimagined New Orleans), follows the story of Lincoln Clay , a biracial Vietnam War veteran and orphan searching for a sense of belonging. Thomas Burke: Leader of the Irish Mob
To succeed, Lincoln builds his own criminal organization by recruiting three disparate lieutenants: Leader of the Haitian gang. Thomas Burke: Leader of the Irish Mob. These versions usually include all updates and the content
Lincoln teams up with his CIA contact, John Donovan, to settle a blood feud from their time in Vietnam.
The "Highly Compressed" tag refers to "repacks" (such as those by FitGirl) which reduce the game's massive install size (often from 50GB+ down to ~20GB) for easier downloading. These versions usually include all updates and the content.