Pro League Baseball is a DOS baseball simulation from 1992, and the honest place to start is that it is not an arcade game. Nothing here depends on swinging at the right moment. The game rests on numbers: on complete rosters for the 1991 season carrying the official Major League Baseball seal, and on the way the statistics of real players feed into how a match unfolds.

It is split into several modules and you choose how high up you want to sit. You can run a single team as its manager, play the owner of a club, or take charge of the whole league as commissioner. You handle the draft, trade players, set the batting order and the pitching rotation, and then watch the season develop. Statistics are tracked in detail and the league keeps living through games you never touch.
A game can be played against the computer, against a second player at the same machine, and — remarkably for the time — against someone else over a modem. That last option is useless today, but it says a lot about the audience: people willing to give a single season dozens of hours.
Two weaknesses matter. The first is the interface, a stack of text menus and tables from the early DOS era where everything happens on the keyboard and nothing helps you if you do not already know the rules of baseball by heart. The second is reliability — the specialist press of the day pointed at bugs in the code capable of ruining a season in progress, which is hard to forgive in a simulation of this kind.
What is left now is mostly a document. A baseball fan curious about how management simulations looked before graphical front ends took over will spend an interesting half hour here. Everyone else will see a spreadsheet they have no urge to fill in.
On oldgame.cz it starts directly in the browser, with nothing to install.