Here is the full list of all 12 UNO achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox One.
Win match 5 times with at least 3 house rules.
Change Color with Action Cards for 40 times.
Win the First UNO match.
Play Action Cards 100 times.
Successfully Challenge a missed call UNO 15 times.
Successfully Calls UNO 10 times.
Successfully make opponent draw cards with Wild Draw Four 10 times.
Complete the First UNO round.
Win 5 matches against 3 AI.
Win Wild Draw Four challenge 20 times.
Win 10 Online matches.
Win a match with more than 700 points.