Adobe Premiere Pro/After Effects.
I made my own version of the second video. I was using trapcode particular though. http://www.redgiant.com/products/all...de-particular/
All of these effects are known as Motion Graphics, and is essentially what the name suggests, graphic with motion added (though it can get deeper than that as well).
After Effects is probably the easiest to learn. There is also Cinema 4D. On the affordable end of things, Smith Micro's Anime Studio is hundreds of dollars cheaper than After Effects and Cinema 4D by far.
Also check here for other software http://en.wikipedia.org/wiki/Motion_...tware_packages
Check youtube for tutorials with each respective software.
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