I don't have as many as I thought I would, but I do have a few. I don't know if you intended for the categories you mentioned to be totally separate, but I'm dividing my list that way anyway.
1. The Kingdom Hearts series is an action RPG series which features your usual upbeat protagonist trying to save the world(s) from evil. What makes the series unique is its setting: in addition to its original material, it makes heavy use of Disney characters and settings while simultaneously featuring famous cameos from Final Fantasy such as Cloud, Tifa, and Sephiroth. While different games explore different character perspectives, the series focus is always on the happy-go-lucky hero Sora, with Donald and Goofy as comic relief party members. The series does get some criticism for the overall complexity of the narrative and fairly hit-or-miss script quality, but the games are fun, the world presents a lot of unique and interesting concepts, at the end of the day, I can't help but love the relentlessly optimistic story about determination and the power of friendship.
2. The Fire Emblem series marries a self-contained (usually) fantasy narrative with strategic turn- and grid-based combat. Each game also has a large cast of unique and fairly diverse characters. The latest entry, Three Houses, also has significant amounts of gameplay directed entirely towards character interaction and development, as you spend the first year of the game as a newly recruited professor preparing your students for military combat. I enjoy the series' gameplay in general, but I want to highlight Three Houses in particular for its exceptionally strong cast of characters and comparatively improved writing.
Relaxing and/or wholesome games
1. I second Animal Crossing: New Horizons. Like Spectre said, it's a life simulator fairly similar to Stardew Valley in concept. The gameplay is slow, relaxed, and enjoyable.
2. The Rune Factory series is perhaps even more similar (I might even say identical). You start the game with an unworked farm; you can train various skills such as crafting, farming, mining, and more; you can fight monsters and explore dungeons; there's even opportunity to socialize with the townspeople and potentially fall in love and get married; the list goes on. This shouldn't be surprising, as Rune Factory's parent series, Harvest Moon, served as the original inspiration for Stardew Valley. If "Stardew Valley had a baby with an anime" is a pitch that interests you at all, give it a shot; the similarities will immediately be apparent. (The fourth and latest game in the series was just recently remastered on the Nintendo Switch, and the fifth game is in development for the Switch currently.)
3. I almost can't believe I'm doing this, but I'm going to go ahead and recommend RuneScape despite the fact that it's 2020 and the game is nearly twenty years old. I do that because whether it's an involved story-driven game or a relaxing one is entirely up to you; it's a sandbox MMO with a huge degree of player freedom. The game has a vast number of storylines in the form of quests, many of which are quite extensive. If you want to, you can intervene to stop civil war in the elven lands, fight to liberate the blighted lands of Morytania from the draconian rule of the vampyres, and more. Or you can just take it easy and cut trees or go fishing while you watch Netflix. Comes in two flavors: RuneScape 3 is the modern game, with pretty visuals, excellent music, and decades of content. Old School RuneScape is a legacy experience designed to mimic the game as it was in its browser-based heyday circa 2007, complete with compressed MIDI music, blocky polygonal graphics, and much less in the way of quality-of-life updates. Both versions of this MMO are still receiving regular content updates and have an active playerbase. The game can be played for free, but you'll have to subscribe for access to the majority of the game's content.