I'm looking for a slideshow script that's using a delay for the individual slide elements. Made preferably with jquery and with responsive webdesign in mind. It's easier to understand what i mean if you look at Apples version here
That appears to be a pure html5 and css3 slideshow using a
<div> with a series of child
<figure> elements, each of which contains part of the 'delayed' transition - basically each 'slide' is a group of several images starting their transitions at different times.
There doesn't appear to be an exact slideshow that meets your needs CCSlider (demo 4) allows movable texts appearing a sliding over an image, reveal.js also tilts towards some of these effects. MooTools slideshow allows timed child elements.
If you want to control it with jQuery I would suggest jQuery Tools from flowplayer it's what I use.
LayerSlider isn't free(though only $7) and focuses on parallax animation from top/bottom/right/left. There's also a version integrated with WordPress(in case you use it) which can handle a bunch of the tedious animation configuration for you via UI; watch the tutorial video for details.