This trilogy will keep you busy as well as entertained
It will take you on a journey of a prince in search of, well, eventually himself, and his place in life. Sands of Time will introduce you to a young and naive Prince of Persia who happens to take control of the dagger of time, thus being able to do some time tricks like rewinding it or slowing it down. In Sands of Time, the prince (or you) will have to use the head more than anything, which fits directly into the charecteristics of the young, agile, athletic and ambitious prince. You will come upon various puzzles that will require planning, timing and thinking.
The sequel, Warrior Within, will show you a darker and more mature side of the same prince, who has become blood-thirsty and can't hide his need for vengeance. This game will have a lot more fighting involved and you'll be using a lot of the prince's muscles. While reminiscing the relatively soft BG music of Sands of Time, you will hear some Godsmack songs in Warrior Within. The latter is the longest and hardest game of the three, but in my opinion, the most entertaining as well. You will also travel through time in this game, going back and forth to past and present versions of the same surroundings. I thought it was a really cool and original addition.
In the third game, The Two Thrones, there will be a nice combination of fighting and puzzle solving, as well as some new interesting chase sequences and more boss fights. In this game, you will actually use your heart to understand and learn from your past mistakes. Along the battles and puzzles, you will also have to fight yourself, or maybe your inner 'you' in some sort of sub-conscious self struggle. Things will get pretty interesting when this struggle will actually change you phisically.
Through this journey from innocence to vengeance and then understanding, you will probably think to yourself what will you do with your life when you're done playing this trilogy. If that thought will keep you up at nights, I suggest you go and start over the trilogy on a harder playing mode.
In the end, this trilogy is worth every penny!! so get a copy of it ASAP!!!