"Dynasty" might be a bit overblown, but you get the idea. Your best run in a prog league.
.
I'm in a single-season prog (started in 1980), where my team's made the playoffs the last 7 seasons (1985-91), averaging nearly 104 wins a year. Best seasons were 1990 (124 wins) and 1989 (114). This season's team was the worst (89 wins) but managed to make it to the post-season due to a weak division. The playoffs are just about to start.
Speaking of playoffs, that's the one sore spot with this team. We've only won a single WS (1988, with a 98 win team). We're a longshot this season, but who knows, maybe we get lucky before going into our rebuilding phase, which starts as soon as these playoffs conclude (1992 and '93 are going to be ugly).
We had a great offensive core on this team. Players who were on the team the whole 7-year run included Rickey Henderson, Jack Clark, Carlton Fisk (our first three picks in the inaugural 1980 draft) and Julio Franco. Others who put in multiple productive seasons included Kevin Mitchell (65 HR, 185 RBI in 1989), Danny Tartabull, Tim Wallach and Jody Reed.
Our pitching saw a much higher turnover rate, but stalwarts included Danny Cox (25 and 24 win seasons), Bobby Ojeda (103-52 career record), Joe Magrane (a 25-5 season, 73-19 career), Danny Jackson, Dave Stieb and Bob Milacki (the hero of the 88 WS team, going 2-0 with 2 saves and a .00 ERA in the postseason).
So let's hear about some other good prog runs...