Here is one of the presents and the envelope contains the lesson.
This is what I did:
12 gifts: Read the scripture references on the package and bear our testimonies of that gift in our lives. Then, have a family prayer. After family prayer, share treat inside (Or play with the toy). Dec 06 Ensign pg 12 Questions and Answers.

1. Creation (Genesis 1 and 2- used picture art)
2. Agency (Joshua 24:15)
3. The gift of love (love your siblings) (John 13:34)
4. Honesty (thou shall not lie)
5. Prayer
6. Charity (1 Corinthians 13)
7. Blessings (tithing) (Malichi 3:10)
8. Families
9. The Holy Ghost (baptism)
10. Eternal Perspective
11. The Resurrection
12. Christ�s Atonement (Christmas gifts all Year)

One example: from www.jennysmith.net
Sharing Time: Christmas Gifts All Year
By Sheila E. Wilson
And whatsoever thing persuadeth men to do good is of me; for good cometh of none save it be of me. … I am the light, and the life, and the truth of the world (Ether 4:12).
Sheila E. Wilson, “Sharing Time: Christmas Gifts All Year,” Friend, Dec. 2004, 35More than 2,000 years ago Mary and Joseph traveled to Bethlehem. Joseph tried to find a place for them at an inn, but there was no room. They found a stable where Mary could give birth.
This was the first Christmas. There were no large family gatherings. There were no decorations. There were no brightly wrapped presents. But there were carols and singing and rejoicing. The angels in heaven joined in a great chorus of rejoicing and praise at the birth of the Son of God (see Luke 2:13–14). Heavenly Father gave us a great gift. He sent His Son, Jesus Christ.
Jesus gave us the gift of the Atonement and eternal life. Jesus Christ is our Savior and Redeemer. He gave the gift of a perfect example for us to follow. He showed us the gift of love and taught us to love one another.
We can also give gifts of service and love. Jesus said, “If ye love me, keep my commandments” (John 14:15). We can show our love for Jesus by keeping His commandments and serving others, not just at Christmastime but throughout the year.
Explain that through the atonement we have the opportunity to repent and be forgiven and what a blessing it is to rid ourselves of those heavy sins.

Gift Ornaments (I don't have the picture of the gift ornaments here.)
Cut out the gifts on page 34 along the solid lines. Write your own gift activity on the blank one. Fold on the broken lines; then tape the lids down. Punch a hole at the top of each gift, and attach string. Hang the gifts where you can see them. Every few days, open a “gift” and do the activity inside. Remember, you can give these gifts throughout the year!