Luckily, a great place to create a name ambigram is at FlipScript.com. Here is a list of ambigrams that are listed there that make great designs. Just click one to view!
 

Air Ambigram
American Soldier Ambigram
Angel Devil Ambigram
Angel Heart Ambigram
Atlanta Ambigram
Aunt Niece Ambigram
Awesome Ambigram
Baby Love Ambigram
Balance Ambigram
Beach House Ambigram
Beijing Ambigram
Believe Achieve Ambigram
Believe Dream Ambigram
Better Man Ambigram
Black White Ambigram
Boston Celtics Ambigram
Brave Father Ambigram
Brazilian Ambigram
Brisbane Australia Ambigram
Broken Dreams Ambigram
Brothers Ambigram
Brothers Forever Ambigram
California Ambigram
Carolina Ambigram
Carpe Diem Ambigram
Chance Destiny Ambigram
Chicago Ambigram
Cincinnati Bengals Ambigram
Cleveland Cavaliers Ambigram
Comedy Tragedy Ambigram
Courage Serenity Ambigram
Dallas Ambigram
Daughter Ambigram
Detroit Tigers Ambigram
Dictionary Thesaurus Ambigram
Double Trouble Ambigram
Dream Magic Ambigram
Dropdead Gorgeous Ambigram
Earth Ambigram
Easy Hard Ambigram
Elements Ambigram
Enter Leave Ambigram
Envy Greed Ambigram
Faithful Forever Ambigram
Fallen Angel Ambigram
Family Friends Ambigram
Familyfirst Ambigram
Father Ambigram
Fire Ambigram
Firefighter Ambigram
Florida Marlins Ambigram
Forgive Ambigram
Freedom Liberty Ambigram
Friend Enemy Ambigram
Friends Forever Ambigram
Friends Forlife Ambigram
Getmoney Staytrue Ambigram
Girls Rule Ambigram
Grandma Ambigram
Grandma Grandpa Ambigram
Grandpa Ambigram
Greenbay Packers Ambigram
Harry Potter Ambigram
Home Away Ambigram
Hope Faith Ambigram
Illuminati Ambigram
Ilovemydad Hesthebest Ambigram
Jesus Christ Ambigram
Jesus Loves Ambigram
Karma Destiny Ambigram
King Queen Ambigram
Lady Luck Ambigram
Lakers Celtics Ambigram
Life Ambigram
Live Free Ambigram
Live Life Ambigram
Livestrong Carpediem Ambigram
Love Hate Ambigram
Love Pain Ambigram
Love Rage Ambigram
Loyalty Respect Ambigram
Magic Beauty Ambigram
Mexican American Ambigram
Miami Ambigram
Miracles Happen Ambigram
Mother Ambigram
Mother Father Ambigram
Music Islife Ambigram
Never Again Ambigram
Never Forget Ambigram
Nice Evil Ambigram
Now Never Ambigram
Oakland Raiders Ambigram
Oneforall Allforone Ambigram
Orlando Ambigram
Party Hard Ambigram
Peace Ambigram
Peace Earth Ambigram
Pensacola Ambigram
Play Hard Ambigram
Player Ambigram
Proverbs Revelations Ambigram
Remember Grandma Ambigram
Remember Grandpa Ambigram
Remember Memories Ambigram
Respect Yourself Ambigram
Rhythm Melody Ambigram
Rolling Stones Ambigram
Saint Sinner Ambigram
Sandiego Chargers Ambigram
Sanfrancisco Ambigram
Santa Claus Ambigram
Science Religion Ambigram
Sisters Ambigram
Sisters Forever Ambigram
Smile Frown Ambigram
Sober Drunk Ambigram
Strength Bravery Ambigram
Strength Happiness Ambigram
Success Failure Ambigram
Superman Clarkkent Ambigram
Takeiteasy Giveithard Ambigram
Tampabay Buccaneers Ambigram
Timeis Money Ambigram
True Love Ambigram
Trust Rebel Ambigram
United States Ambigram
Water Ambigram
 
PS - Of course, they work in the reverse order, too. For example, the Saint Sinner ambigram is also a Sinner Saint ambigram, just upside-down.