If its just minecraft with frapps then use the Dell optiplex sff, it has a newer cpu and is hyper threaded (it does help somewhat, at least with my i3), has newer and more ram for better multitasking. I have also used the gtx 610 and can vouch that It can play games like arma 2, Dayz, and borderlands albeit with a lot of setting turned down.BUT BE CAREFUL AS IT CAN GET VERY HOT IF IT IS PASSIVELY COOLED!!(large heat sink with no fan) and may need to have a side panel fan blowing on it if it has none of its own. If it doesn't have a fan where the graphics card is located, and you are going to game even on minecraft with it, then look for another computer as it will heat up and shut down the computer when it gets too hot (goes from 23C to 102C in about 6 minutes in my experience without a fan)
the HP has a very competent processor compared to the i5 660 but falls behind a little in some applications, you should stay away from the ddr2 ram for any modern application that doesn't involve general Internet use. ddr3 and soon to be released ddr4 do more than give you better ram speed witch is negligible in most cases, but provides you with better and more efficient communication with the cpu. the only saving grace for the hp is the r7 260x, witch is a very competent budget graphics card.
You should also consider how much storage you are getting, even if you only plan on putting minecraft and frapps on it, and you only have an 80gb hdd then you might start to get tight on space in the future. And also consider the OS, if its Xp, then look elsewhere. Xp is still great but since Microsoft stopped supporting it, hackers and male ware are going to kill what community is left of Xp in the next two to three years because it does not get any more security updates.
If you are getting theses from eBay or from an old computer store, I would look around some more as there might be some better deals on newer computers that can beat both in specs. If you can, wait and save more money and buy a more modern/brand new pc with an Intel Celeron or i3 processor and put a gtx 630 ($70) inside and you can get a decent low budget computer that can play modern games alongside minecraft.
Also You could always learn how to build a computer form the internet and you tube, if you don't feel comfortable handling expensive computer parts its normal, It took me 2 months of researching to work up the nerve to open and upgrade my first computer. And keep in mind that building and upgrading computers is not for everyone and if you don't like it there is no problem buying pre assembled computers form stores or online retailers.