Display the current date on LCD

What does that mean?

The one that you write based in your requirements. The forum will help you, but not write the whole code for you.

You will need a basic Arduino like Nano V3, and a Real Time Clock module. I would recommend one that uses DS3231 chip. For the LCD, a basic 16x2 character display should be sufficient and I recommend to get one with an i2c backpack pre-soldered to the display, for easy connection.