I'm not sure getting both of them is an option, but I'll give you some reasons why I want each system individually. Note, I already have a PS3 and PS4, so I won't be missing out on any modern games either way.
The reason I want a PS2 is for the classics, such as DMC series, MG series, Kingdom Hearts series, Spider-Man series, Final Fantasy Series, X-Men Games, Jak & Dexter and Sly Series. I'll probably pick up the Metal Gear 20th Anniversary Collection, so I can get most games in series. PROS: I can get to play the classics. CONS: I can't play DVDs on high quality and I'll miss out on Modern Xbox exclusives.
The reason I want a Xbox 360 is for the exclusives: The Halo Series, Fable Series, Forza, Gears of War, Plants VS Zombies Garden Warfare, Titanfall, Batman Begins ETC. So, as you can tell, Xbox 360 has some great exclusives I would like to try out too. PROS great exclusives, can play modern DVDs in higher quality then PS2 CONS miss out on classics and PS2 exclusives.
The PS2 costs $59 Australian Dollars, and the XBOX costs about $118 Australian. So, I'm leaning more towards the XB360, but I'd like your feedback. THANKS!