When you travel to the future for the first time, the game will equip the following set of items to Adult Link.
The way the game checks to see that this is the first time becoming an adult is by checking if you do not already have the Master Sword in your inventory. So if you delete the Master Sword from your inventory and return to the future, you'll activate Adult Reset — which is to say the game will re-equip Adult Link as if this was the first time becoming an adult.
As Bombs are always equipped regardless, it's possible to skip obtaining a bombs properly by using Cojiro RBA to obtain a bomb bag. This allows you to collect bombs and you can use them as long as they are equipped to a C button.
Watching the light arrow cutscene counts as going back and forth through time, which means that it can be used to trigger Bottle Adventure and Adult Reset. This is used to get the Master Sword back on a v1.0 save file without going back in time (since in v1.0, you can keep non-sword items on B after a save).
Being swordless and going back in time also seems to trigger Adult Reset, despite having the MS in the inventory. This was found by unreal, and should be looked into more carefully.
It should be noted that due to Adult Reset, Zora Mask BA can never avoid having the second least significant bit flagged (the bit used to represent having the Master Sword in inventory) while putting an item on B.