This Data Pack adds Potions of all the effects in Minecraft plus a few made by myself. (Made for 1.16.4)

To get these new Potions you have to kill witches. A witch has a 50% chance of dropping a potion with a random effect, potion type, and potency. Normal, drinkable potions, are most common, thereafter splash and lastly lingering. Most potions have 3 different potencies for each of the three potion types, so every effect has at most 9 different variants.

Here is a link to all status effects.

There are a few others:

Potion of Bolt - A potion that makes you traverse the land even faster than before.
Potion of Chains - A potion that makes you super slow.
Potion of Life - A potion that heals you fully.
Potion of Death - A potion that kills you instantly.
Potion of Uncontrolled Healing - A potion that gives you insane regeneration.
Potion of Damage Immunity - A potion that makes you invulnerable to all damage.
Potion of Health - Gives you an extra 10 hearts
Potion of Berserk Rage - Gives you Strength, Resistance, and Nausea.
Potion of the Golden Apple - Copies the effects of a Golden Apple.
Potion of the Notch Apple - Copies the effects of an Enchanted Golden Apple.
Potion of the Totem - Copies the effects of a Totem of Undying.

If you change the pack_format in the pack.mcmeta file this data pack should work from 1.14 when the Hero of the Village was added to the most recent versions.

If you want to remove a potion it is only to remove an entry from the witch.json file.

The only potion that cannot be dropped when a witch is killed is the Potion of the Turtle Master because I was unable to find the color of the potion.

Looting doesn't affect the drop rates of the potions, Luck however increases the chance of potions that are rarer.