MCTimeMachine provides direct download links for the latest versions of Minecraft (client & server). All download links are direct links to the official sources on Mojang.com.

Latest Stable Release
Released on 14 Jan 2021
1.16.5
Latest Snapshot Release
Released on 12 May 2021
21w19a
Latest Beta Release
Released on 18 Sep 2011
b1.8.1
Latest Alpha Release
Released on 02 Dec 2010
a1.2.6