Once enabled the league_table module, game statistics are recorded.
Goals, wins, ties, looses and points will be available on Views.
Points are calculated using standard point assignment on league main admin form.
Only games with status finished are considered for table statistics.
League ships with a default table views.
Groups and/or categories
If you hold games on different groups and /or categories just take hand of any Drupal Way categorization: taxonomy, node/entity reference or OG and assign it to your games.