Devil May Cry All Collectibles is a speedrun category in which the player tries to complete the game as fast as possible while also collecting all blue orb fragment and equipments. Glitches such as Shadow despawn are all allowed. Using other programs to affect the game or modifying the game with mod is not allowed.
The leaderboards for this category are available here
All Collectibles requirement is similar to 100% objectives, but without the need of full upgrades and ending each missions with specific criteria. The following requirements are:
(1) All of them need to be cleared when you finish the game. The rewards you get from these missions are part of collectibles requirement, which is the Blue Orb Fragment. You are also allowed to Save/Quit for quick travel as long as you collect the item reward in the area. For example, you can go back to mission 8's entrance interval after you grab blue orb in secret mission 5.
(The rules here are specific to this category. Go to this page to find the rules that apply to all Devil May Cry speedruns.)
For those who are interested in 100% category this is a good starting point.
Once you have completed your first run and made savefiles practice the parts you are least confident with then try another run.