2056 went from not existing (2006) to picking 1114 as the #1 seed at the Toronto regional (2007). This is probably because they went from not being a team to being a team
(Note, 2056 actually did a bunch of great practices in their rookie year that I spoke to them about. PM me or *even better* someone on 2056 so you can find out about them).
971 wasn't *that* good before 2009 and really wasn't at their current level until 2012. They went from seeding decently at tough regionals to seeding very well at events like the modern SVR (and I don't know anyone who would deny that 971 is a team that was good enough to win world's in 2014 or this year but had some bad luck at world's). I spoke to Wyn Schuh at World's quite a bit this year and she said that their success really just started because of experience and learning what works and what doesn't work. Lots of their former students and members still support their team as mentors and use their years of experience to guide the team and keep it very focused.