The design detail of having wood on the ceiling (or walls) is no longer something to wish you didn't have to live with. It's somewhat common in modern homes and seems to be coming back in to favor as even a purely decorative choice, not just a structural one.
You're super lucky if you live in a space that includes wood ceilings that are original to the house; then it's most likely in the best shape for showing it off. An interesting thing about wood plank ceilings is that they don't necessarily have to be paired with modern or traditional decor — they go both ways! Go all white for a modern Scandinavian look or try leaving the wood as is as a complement to a country color palette.
Images: 1. City-Furniture, 2. Ooh_Food, 3. Riviera-Maison, 4. A Merry Mishap, 5. Luxe