Zora's River
Octorok red rupee
Bypass Sleepless Waterfall
It is possible to make it past the waterfall at the end of Zora's Domain without Zelda's Lullaby, and some of these methods are faster than the Lullaby scene to slow the water anyway.
Method 1 - Cucco
Discovered by YautjaElder
Grab the cucco at the beginning of the river and bring it all the way up to the waterfall. Go to the very left of the closest ledge to the waterfall. Now face the wall sligtly left of the water fall and jump at it. Hug the wall and go a little bit right until you get in the tunnel.
Method 2 - Hover Boots
Discovered by ???
As adult simply using the hover boots like the cucco method will do.
Notes
Both the cucco and hover boots methods can be done from the right side, however it's a bit harder and you have to grab the ledge.
Method 3 - Megasidehop past Waterfall
It is also possible to get past the waterfall to Zora's Domain with a megasidehop. 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.