Birthstones is an interesting idea when it comes to buying a gemstone for someone.
Here's a list of gemstones corresponding to the birth month.
January - Garnet

February - Amethyst

March - Aquamarine

April - Diamond

May - Emerald

June - Pearl / Alexandrite

July - Ruby

August - Peridot

September - Sapphire

October - Opal / Tourmaline

November - Topaz / Citrine

December - Tanzanite / Zircon / Turquoise

Pictures: TKBESPOKE - Kristina Lim