Format
A format you can say in one line
Na Yeong-seok (나영석; his nickname is "Na PD"), who joined KBS in 2001 and was born on April 15, 1976, is credited as director on the shows in the table.9 Each runs on a premise that fits in a sentence: a cast visits a place for one night and two days, four veteran actors backpack abroad, a cast cooks three meals a day in a village, a cast opens a restaurant or guesthouse.12356 Wikipedia credits 2 Days & 1 Night (KBS2, from August 5, 2007) with bringing the road-trip format to Korean reality television.9
Link
A joke becomes a show
Wikipedia's article on Three Meals a Day says the idea came from a joke on Grandpas Over Flowers, which Na and the actor Lee Seo-jin had worked on together.3 Lee Seo-jin then reappears across the franchise: he travels with the four actors in Grandpas Over Flowers, a manager in Youn's Kitchen and, in Jinny's Kitchen, the restaurant owner.28
Franchise
From one restaurant to a franchise
Youn's Kitchen (tvN, March 24, 2017 to March 23, 2018, 20 episodes) had the cast run a small Korean restaurant abroad.5 Youn's Stay is its first spin-off: with travel disrupted by COVID-19, the production opened a hanok guesthouse in South Jeolla Province for foreign guests and gave the show a new title.6 Jinny's Kitchen is the second spin-off, made "with the goal of forming a franchise", and Wikipedia calls it the first Korean entertainment show distributed worldwide by Amazon Prime; it ran in Bacalar, Mexico in season 1 and Reykjavík, Iceland in season 2.8 Videos: Youn Stay ǀ 尹STAY Teaser (tvN Asia); Jinny's Kitchen | Teaser Trailer | Amazon Prime (Prime Video Singapore).10
Beyond TV
Beyond the broadcaster
New Journey to the West began on the web on September 4, 2015 and reached tvN on April 8, 2016.4 Na and his team also run a YouTube channel, "Channel 15ya" (채널십오야), where two web spin-offs of Three Meals a Day were released: Three Meals in Iceland (September 20 to November 29, 2019) and Three Meals a Day for Four (May 15 to July 24, 2020).3
New faces
The same producer, a different cast
Earth Arcade (tvN, June 24, 2022) is a reality-variety show whose four heroes, including An Yu-jin of IVE, try to catch an escaped moon rabbit, and Park Hyun-yong is credited as co-director on it and on New Journey to the West from season 7.47 Videos: Earth Arcade 3 | Official Trailer | CJ ENM (CJ ENM Global).10
Limits
What this post leaves out
This is a description of the formats and release history, not a ranking. It gives no ratings, because the sources' season counts and rating tables disagree in places (Wikipedia's article on Three Meals a Day says nine seasons aired to July 2020, while its filmography entry for Na lists ten to 2021), and it doesn't judge any show.39