Since 1960 the Broncos have won 387 regular season games and 17 post-season games for a total of 404 games.
The date of this answer may matter. It is currently 12 Dec, 2009. The Denver Broncos have five more games to play in the regular season this year and will likely be in the playoffs after the regular season ends.
A link has been added to the bottom of this question for reference, should the answer become dated (in which case, you're encouraged to update it).
Two.
6
Through 2012, the Denver Broncos have an all-time record of 384-313-7. Their postseason record is 17-15.
5
0 they have never won
In 2009, the Denver Broncos had an 8-8 record.
In 2009, the Denver Broncos had an 8-8 record.
6
They have played in 6.
The Denver Broncos have a record of 105-87 since 2000
The Denver Broncos have won two Super Bowl titles in six appearances.
Twelve - the Broncos and 49ers are tied 6-6 in regular season games.
Very few - less than 5 games since the Browns rejoined the league in '99.
Through the 2008 season, the Broncos all time record against the Rams in 5-6.
Through the 2012 season, the Denver Broncos have a regular season record of 419-375-10.
The Broncos, who have beaten the Cowboys four consecutive times, lead the series 6-5. But Dallas won their only postseason meeting, a 27-10 victory over Denver in Super Bowl XII at the Louisiana Superdome in New Orleans.
Two.