The "cookie plate" sounds like a wonderful idea--a thoughtful gift with the homemade touch.
I also like making up "mixes in the jar" for gifts--muffin and cookie mixes are always a welcome gift during the holidays (or anytime really). The different layers make for an attractive presentation. Cover the lid with a piece of holiday fabric, tie with a bow, and include a card with the printed recipe--set to go.
Keeping in mind the gift recipient's personal favorites, maybe a jar of candy, or nuts, or granola would be a better gift--fill the jar, and finish off with the fabric and bow. Easy, but with a personal touch (which is always appreciated).