The game of Shisen-sho was popularized by, and maybe invented for, a 1989 Tamtex arcade machine that became known outside Japan as Match It. In Japan, it was known as Shisen-Sho Joshiryo-Hen and rewarded successful players with mildly erotic images similar to Puzznic or Bubble Bath Babes. This is pretty common for Japanese arcade machines, but was omitted for the export version. It was also omitted for the PC98 version, though adult content was common on that platform.
While Shisen-sho is usually played with MahJongg tiles, it cannot really be compared to the other form of solitaire MahJongg, often known under the name Activision gave it, Shanghai. The purpose of an arcade machine is to draw quarters out of the gamers' pockets, therefore there must be some way to lose. In this case, it is a time limit for the levels. Nearly all the follow-ups on home computers left this time limit in place.
NB: The arcade machine versions of Shanghai (compare, for example, Shanghai II and Super Shanghai) had a time limit as well, but none of the computer implementations had.
In Shisen-Sho, there is only one layer. You can remove matching tiles if they can be connected with a line with no more than two bents in it, and of course the line must not cross any other tiles.