Compared to a classic PSP, PSP Street loses some minor buttons (direct brightness control for example) and above all, the wifi. The rest is more or less the same, with a matte and not glossy look. I never used the wifi at my old PSP except to try the (bad) web browser. Unless you plan to connect two PSP network to battle against a human opponent, losing the wifi is not an embarrassment. As the console will be replaced anyway, so spend as little money as possible, even if the economy is only thirty euros.
For the rest, there are the qualities of the PSP classic, ie more focused games "hardcore gamer", a large screen and much Successful multimedia functions. Sometimes I make use of the console to just listen to music.