AstikorCarts by MennoMax and pau101
This mod is open source and licensed under the MIT license.

Controls:

All carts can be attached and detached by pressing R once while riding an entity with a cart nearby. This hotkey can be changed in the controls. Simply look for "Action Key".

If the cart is going too fast, try toggling the slow mode by pressing sprint once while riding. This speed can be changed within the mods settings, but changing it will require a Minecraft restart to take effect.

If you want a certain non-vanilla entity to be able to pull the cart, add it to the list of entities in the mod settings. This is cart specific and you will have to find out the id of the entity to add it to the list. Adding minecraft:player will allow you to pull a cart without riding.

Carts and cart specific controls:

Supply Cart:

This cart is the oldest of this mod. It comes with a double chest inventory and has room for a friend of yours to sit comfortably on its back. Good luck on the adventures you shall overcome together.

Controls:
The carts inventory can be accessed by sneaking while right clicking it. If you right click it without sneaking, you will start riding the cart instead.

Plow:

The plow is a useful cart and has been slightly repurposed in v0.1.2.0. Not only can you put hoes in its inventory slots to till up to 3 blocks at once, but also shovels to turn dirt into a path for connecting interesting places within your world.

Controls:
The plowing mode can be toggled by right clicking it. Just like the cart, it's inventory can be accessed by sneaking while right clicking it.

Animal Cart:

This cart is a boat on wheels. Use it to allow both your human and non-human friends to travel alongside you without sweating.

Controls:
You can push entities into the cart to take them along with you and release them by right clicking the cart while sneaking. Right click it while not sneaking and you will start riding the cart yourself.

Crafting Recipes:

Currently supported languages (additional translations are welcome):

Upcoming Features