Board games have been around for thousands of years, and just because the advent of videogames has seen a decrease in their popularity does not mean they'll be gone any time soon. As a matter of fact, thanks to software like VASSAL, Tabletop Simulator, and Roll20, board games are infinitely more accessible and cheaper for the masses to enjoy. After all, board games are expensive... but they're well worth it.
As I'm sure we all know, board games go far beyond simply chess and Monopoly. I have a top 5, but keep in mind there are many more great games out there- all it takes is a simple google search to find what suits you! Here's my list, feel free to share your own:
Pathfinder: A role-playing game spawned off of Dungeons and Dragons, this game has seen me roll around with a band of misfits to do everything from slay monsters to haggle with merchants for just one more trinket. There's not much math nor complicated functions here- if you have a (free) Roll20 account, the system does the work for you, including factoring in all those pesky multi-dice rolls.
Zombicide: Love killing zombies? Here, you get to control a couple of survivors in a variety of scenarios, from rescuing another survivor to digging around wreckage for... a bag of rice? Anyways, it's a bit expensive but definitely worth it seeing as it comes with a bunch of miniatures, both of zombies and survivors. It has an intuitive card system to dictate random events, and attacks are decided on a hit and miss basis by dice, so you'd best stock up on some loaded ones!
Warhammer 40,000: This guy here is older than my mother- literally. Over forty years of history have been poured into Warhammer 40k, and its' stories and universe definitely reflect that. The basic rundown is this: The year is 40,000 something and everything has gone to hell. Humanity has finally united and sailed far away from Earth to colonize most of the known galaxy... but the aliens inhabiting said galaxy aren't too happy about that. Add a bunch of evil gods and macabre cultists, and you can see why this game coined the phrase "grimdark". In this game, you control a small army composed of squads against an enemy. You choose your units, equipment, etc, and then you wage war in a fantastic turn based strategy game that will knock your socks off and leave you praising the Emperor.
Rogue Trader: This is essentially Dungeons and Dragons, but for Warhammer 40,000. In here, you're in charge of a giant spaceship and a sizeable crew. Your sole mission is to go around the galaxy and destroy the enemies of the human Imperium, and bring glory to the Emperor. Whatever you do in pursuit of said glory will be excused. Sound familiar? You see, Rogue Traders aren't actually traders in 40k. They're pirates. And if roleplaying as an awesome space pirate doesn't get your blood pumping, you're most likely a heretic.
Chess: C'mon, I've been playing this (badly) since I was 12. Not all my favorites can be exotic games, right?