Here is a fantastic Anime & Manga Eyes (for Girls / Female Anime Eyes) that is very easy to draw with very impressive results.
This tutorial will be for the most common Anime / Manga eye style for females which is a large and cute female eye commonly used for young female characters (aka girls).
For the upper eyelid, create a curved line similar to the one shown above. Make this curve slightly thicker than normal.
Now, draw a line below for the lower part of the anime eye. Observe the red guidelines to estimate the distances between the upper and lower eyelids.