Zora's River
──── Bypass Waterfall ────
It is possible to make it past the waterfall at the end of Zora's Domain without Zelda's Lullaby; even with Lullaby most of these methods are faster.
Megasidehop past waterfall
It is possible to get past the waterfall to Zora's Domain with a megasidehop, as Adult or Child. This can be done with a bomb or bombchu.
A good facing angle setup option when coming from the Lost Woods shortcut is targeting the left wall underwater (facing angle 0x9109) and continuing to hold target to retain the angle after climbing out. If using this method, make sure to hold directly up when starting to move after climbing out of the water to prevent the camera from uncentering itself. Another way to get a good facing angle is to target the wall beyond the waterfall and ESS turn left x2 or x3.
Chu megasidehop with ISG
If you have bombchus and can get ISG, some may find this method easier than timing the chu megasidehop normally. As usual the angle is 2 or 3 ess left from targeting the wall.
Hover boots rolls past waterfall
You can simply climb from the water coming from Lost Woods with the right angle and roll towards the ledge.
The video shows a fast, slightly trickier strat, as well as a slower, simple strat.
Hover boots backwalk past waterfall
This uses hover boots but not explosives. Similar to the megasidehop, get the angle by targeting the wall at the very top of the hill past the Lullaby pad, and turn 2 or 3 ess to the left.
Sidehops can be used before starting the backwalk to gain some speed; backflip near the end of the hover boots timer.
Fly with cucco past waterfall
Discovered by YautjaElder
Grab the cucco at the beginning of the river and bring it all the way up to the waterfall.
The video shows a fast strat where you jump from the lower (right side) portion of the ground and grab the ledge. This can be done more easily by just jumping from the left, upper portion of the hill and you can just land inside the alcove.
──── Miscellaneous ────
Lost Woods warp without scale
Megasidehop
These can be done as Child and Adult, with Bomb or Bombchu.