At the end of the podcast, Evan introduces his new boardgame podcast saying 'we play lesser-known, sometimes obscure, tabletop games. These are not video games, these are not computer games, these are old-fashioned analogue games'. He's right that they're not video games or computer games...
The dichotomy between analogue and digital comes from the fields of electronics and signal processing, where signals can either be continuously varying (analogue) or take a finite number of discrete values (digital). We broaden the term digital to include anything done on a computer, which is reasonable enough, but it doesn't follow that anything not on a computer is therefore analogue. Some games have genuinely analogue features; a good example would be snooker or pool where the position of the balls really do vary continuously, and a few tabletop games including Pitch Car and Warhammer 40k share this property, but most do not. Most tabletop games admit a discrete ranges of possible states, which may include information represented as numeric digits such as scores, or include other discrete valued representations of information, such as the location of a piece on a chess board.
You could argue either way whether Chess, Settlers of Catan or Power Grid should be considered digital, but they are certainly not analogue.