Games like Minecraft, Terraria and Stardew Valley?

Games like Minecraft, Terraria and Stardew Valley? - 1

Starbound is probably the most similar sort of game to those (particularly Terraria). Some people aren't that happy with the direction the game has gone in, but I think it's still a very fun game and it will leave early access soon.

Another game is 7 Days to Die, which is somewhat similar to Minecraft but with a bigger focus on zombies.
Like Starbound, it is currently in early access but is not far from completion.

Like Minecraft:
There are lots, and lots, of Minecraft imitators. The problem is finding one that is decent. Examples include things like 7 Days to Die, Guncraft, Rust, and Don't Starve.

Like Terraria:
There are a lot of Terraria imitators as well. The best known of these is Starbound, an early access game that will soon be leaving early access. Also available are Edge of Space, King Arthur's Gold, Craft the World, and Junk Jack X.

Like Stardew Valley:
Unlike Minecraft and Terraria, which set the standards for their genere, Stardew Valley itself is an imitator. The game is very similar to the Harvest Moon (now called Story of Seasons) games, which are mostly available on handheld platforms. Other games to look at include Rune Factory, Recettear: An Item Shop's Tale, Farm For Your Life, and the Atelier series.

No Man's Sky is coming out on June 21st.

7 Days to Die is out on PC already. Coming soon to PS4.

Those games are like Minecraft that are actually worth mentioning.

Don't Starve, Garrys mod? Trove, ARK, Starbound(Same people who made Stardew), Risk of Rain, FEZ