Screenshots courtesy of Nathan Lineback of Toastytech.
In 1987, Microsoft released its next version of Windows, the 2.x series. Unlike 1.x, Windows now had the ability to overlap and resize windows, it had a system box in the upper left of the window controls and a minimize and maximize button in the upper right corner. Furthermore Windows 2.x offered the possibility to quickly navigate through the system by using key combinations and has support for PS/2 devices in the later versions.
In order to run Windows 2.x, you would need a 286 processor with 512 kb of Ram. Also it is necessary to have MS-DOS installed, but be aware that 2.x only works on DOS versions from 3.x to 5.x, although sometimes it even starts using 6.x.
To pass a judgement on this windows series, I'd say that it is quite suitable or old 286 and 386 computers with limited Ram and harddisk space, but it would be wise to switch to 3.x or Windows '95 in case of a 486 CPU.
Because the amount of software that has been written for 2.x is quite limited, it is a rather useless operating system and it never got really popular.