You do not need an HDTV to play Minecraft on Xbox 360, Xbox One, or Xbox Series X|S.
| Console | Min. Resolution | Cables |
|---|---|---|
| Xbox 360 | 480i (Composite) | Composite (Yellow/Red/White), Component, VGA, HDMI |
| Xbox One / Series | 720p (HDMI only) | HDMI (no analog out) |
Used 1080p 24" monitor ($40–$60) + HDMI cable beats any SDTV for Minecraft. Xbox One/Series require HDMI; no analog workaround.