Ratchet and Clank: TOD is the start of a new saga, or storyline, from the PS2 Ratchet games. It is not neccessary to have played the previous games to get into them, however they are so much fun that I do reccommend it. Word of warning, though, they run at a much slower speed on my PS3 then what they should.
As for the Jak series, I do not know of the next game, but I say that you must, and I repeat, must, buy those games. With the exclusion of X, the Jak franchise was my favourite franchise of the last generation, and the third game is easily one of my favourite games of all time - it had everything! Seriously, you must buy these games. For the record, I have had no issues in playing these games on my PS3.