This is my current list with reviews for 9 of my top 10 modern board games. I'd probably put chess, bridge, cribbage and backgammon on my list of classic games.

1. Azul: Finely crafted strategy and satisfying interactions
2. Nusfjord: Fishing for a new economy
3. Star Realms: Luck is the residue of its design
4. Lost Cities: The espresso of card games
5. Bohnanza: The game about (trading) beans
6. Carcassonne: Why Carcassonne has a permanent place on my game shelf
7. Sushi Go!: Lowering the barrier for drafting games
8. Codenames
9. Torres: A game of vertical area control
10. Terraforming Mars: Ares Expedition: A game about applied research