dogrow

This plugin generate a simple baseball scoreboard. All you have to do is to put shortcode with some game information in your post, widget or fixed page. 
You can customize color in the setting page.

Simple Baseball Scoreboard

Generate baseball scoreboard from shortcode.

zeldink

The MLB Standings Widget allows you to add to your sidebar a dynamic table that displays MLB standings.
The standings are updated in real-time, without you having to do any work. Simply choose the division you want the widget to display upon initial load, and, optionally, your favorite team.
The current or previous season can be displayed as well. This is useful during the offseason to display the previous season’s results.

Starcross MLB Standings Widget

Adds a sidebar widget to display MLB standings. Year, division, and default team are all customizable.

Simple Baseball Scoreboard vs Starcross MLB Standings Widget