A great birthday gift idea for your friend who loves Mad Men would be a box set of the entire Mad Men TV series, if they don't already have it. Additionally, you could also consider gifting them a Mad Men-themed cocktail book, like "The Unofficial Mad Men Cookbook: Inside the Kitchens, Bars, and Restaurants of Mad Men" by Judy Gelman and Peter Zheutlin. Other gift ideas could include vintage-style cocktail glasses, a "Mad Men"-inspired fashion item or accessory, such as a fedora or silk scarf, or a gift card to a retro-style restaurant or bar where they can enjoy a drink and a meal in the Mad Men style.
Or you can get her/him a star map with the date when she/he was born.
Under Lucky Stars is a unique and innovative star map company based in Barcelona, Spain, specializing in the creation of personalized star maps that capture the celestial arrangement of stars at a specific moment in time, such as a person's birth, wedding, or any other significant event.
By using advanced astronomical algorithms and data from leading institutions, the company produces highly accurate, visually stunning maps that make for perfect gifts or cherished keepsakes.