Can i play Minecraft xbox 360 edition on a xbox series S?

Minecraft: Xbox 360 Edition can only be played with other Xbox 360 consoles on Xbox Live. The Xbox One edition can only be played online with other Xbox One consoles. There is no cross-platform play between the Xbox editions and other editions of Minecraft.

For more info: https://support.xbox.com/en-US/games/game-titles/minecraft-version-differences

You have names mixed up. There are no consoles named the Xbox One Series S or Xbox One Series X.

The Xbox One/One S/One X all have a disc drive.

The Xbox One S All Digital Edition does not have a disc drive.

The Xbox Series X has a disc drive.

The Xbox Series S does not have a disc drive.

All the consoles can play backward compatible games. The Series S and One S all digital edition can only play games digitally downloaded.

The other consoles can play games from disc and from digitally downloaded,

I hope this clears things up for you.

Can I buy fifa 23 standard edition xbox one version and play it on xbox series s ?

You would have to own it digitally in order to play it on the Series S. However, that game has been discontinued so the only way to play Minecraft: Xbox One Edition is by disc.

https://support.xbox.com/games/game-titles/minecraft-version-differences

Playing Minecraft between devices and platforms

You can play Minecraft: Windows 10 Edition with other devices running Minecraft: Pocket Edition, such as Windows 10 and Windows Phone devices.
If you have Minecraft: Apple TV Edition, you can play locally with other players running a version of Minecraft: Pocket Edition. Visit Minecraft: Apple TV Edition overview
for more info.

Minecraft: Xbox 360 Edition can only be played with other Xbox 360 consoles on Xbox Live. The Xbox One edition can only be played online with other Xbox One consoles. There is no cross-platform play between the Xbox editions and other editions of Minecraft.