PSOBB as most call it, is an expanded version of Phantasy Star Online for the PC. In essence, it's is everything from Versions 1 and 2, plus an exclsuive 4th episode with new items, enemies and locale. It is the ultimate version of Phantasy Star Online.
Phantasy Star Online on Gamecube is not free, but on PC its free PC version is Phantasy Star Online Blue Burst.
You can get the Blue Burst version here. http://83.169.9.83/cache/BlueBurstServInstall1.5.exe
Sadly, probably not. Phantasy Star Online 2 is out now in japan and it going to be released in the US later this year (2013), so Episode 4 in Blue Burst was the final episode of PSO1.
The chronological order is ... Phantasy star Phantasy star 2 phantasy star 3 Phantasy star 4 Phantasy star on line phantasy star on line 1 and 2 Phantasy star on line episode 3 Phantasy star universe Phantasy star universe ambition of the illuminis Phantasy star portable phantasy star portable 2
Phantasy Star II happened in 360.
Phantasy Star Collection happened in 1998.
Phantasy Star Online happened in 2000.
Phantasy Star Portable happened in 2008.
Phantasy Star Universe happened in 2006.
Phantasy Star Adventure happened in 1992.
Phantasy Star Gaiden happened in 1992.
Phantasy Star II was created on 1989-03-21.