I would suggest you look at the Collages in VPX to do what you require.
Creating your own is also quite easy, stack the required number of images/video clips on the timeline and use Effects, View & animation, Size & Position to create the layout you want - if you want to animate these use keyframes as required.
See the tutorials in the Tutorials section on Keyframing.
An example of one I did a few years ago is the intro to this video.
I realize that I haven't explained explicitely enough what I am looking for:
My aim is not to arrange various different clips/photos on one screen (like with collages or PIP), but to break up one single image/clip into multiple tiles of the same content. It's an aesthetic effect found e.g. in many music videos - just like a "multi-mirror" thing (find it hard to explain, but my youtube links show what I mean).
I followed your advice and took a look at the design elements under templates, but still couldn't find anything similar to what I am looking for.
MEP/VPX don't have a tiling feature. However, there are a couple of ways to get tiling without too much effort. After that, then you can modify and/or create your own and save it as a collage.
I noted that the examples that you referenced all required adjustments and keyframing.
For this, you need HitFilm Movie Essentials Pack. See the Store if you don't have it. The transitions are very fast.
HitFilm Tile gives you tiles of the same image or video and you can do something like in the video below. I used a transparent border and gave it the same effects with keyframes as the image so that it also tiles and creates borders. I created a cross-fade to the next image, and added the same keyframes, but reversed order, to the second image.
An alternative is to use the tiling as a background and overlay the same (or another image) zoomed out, and adjust/keyframe, etc. as desired.
Design Elements - Simple Geometry - Skewed
The second one requires the above available from Producer Planet, I guess, as I don't see it in the Store.
This requires 7 images and transitions to the 7th. For this exercise, I duplicated the first image 5 times (6 tot.) and applied the effect to the first image. It creates a collage. If you inspect the details, it uses 5 alpha masks that move/adjust, thus the duration is fixed. If you want the same image but with different zooms locations or something, ungroup and modify the individual images by adjusting the size/position and keyframes.
This one is a good learning exercise as you can see how it was done and you can create your own and save it as a collage.
So I see that there's no out-of-the-box, still I appreciate your suggestions.
Though I must admit that both solutions are not really suited for my purpose: HitFilm, in my opinion is quite an expensive add-on for such an effect, and Design Elements appears simply too "rigid" to me (in terms of the lack of flexibility in visual design).
But I understand that the natural way in VPX is to create such effects manually, using tracks, size/position and keyframes (probably with lots of copy&paste'ing video effects settings between clips).
It's not exactly what I was hoping for, but it explains my options quite well. So thx for the information!
....if third party plugins made for industry leading software could be used in VPX (which seems not)
Not wholly true, depending on which particular plug in(s) you are hoping to use in VPX. If you tell us which one(s) you would hope to integrate I am sure one or other of us can offer some guidance/advice/information.
I don't know why you would expect a listing of plugins for VPX in a thread asking about a tiling effect.
VPX is extremely flexible and versatile, but you first have to learn how to do things. It is not PhotoStory. We can create, edit, save, copy, use and reuse titling effects, collages, other effects, etc. in VPX. We can take apart some of the built in effects, like collages, lower thirds, etc., modify them and save them. But, you first have to learn how.
You imply that there seems to not be third party plugins made by industry leading software. False. See the list that I put together, many of which I have and use.
@phonebooth asked about one specific effect, tiling, that is in After Effects and Adobe Premiere. I would expect things like that in these programs, especially AE, since effects are what it does. I pointed to a Hitfilm plugin that I have that came with one of the upgrades that does tiling. Otherwise, it is easy to create your own in MEP, but it can be time-consuming to get exactly what you want. Do not expect every company to have built-in, every effect that you might come across or might imagine. The ones in the videos referenced by the OP were part built in, but mostly effects done with keyframing manually - the same as would have to be done in VPX. Worse, you probably would not even like that effect as it wouldn't do exactly as you wanted. That is why we have the capability to do these in VPX, along with third party plugins and sometimes with external programs like BluffTitler (an excellent and inexpensive replacement for AE).
While I'm thinking of it, another user complained that Magix should create some "modern" transitions and include them. He first referenced 2 tutorials and in both case the effects (whip transitions) were done in-camera and then simply trimmed in the video editor. No one can make a transition effect that does an effect that you have to do with a camera. Then he went on for more, referencing some third party transitions made for other programs, like for only one other program, Premiere or Final Cut, and claimed that Magix should make these because he didn't find the ones that come with Magix useful. When I looked at them, most were actually included with VPX and MEP, the guy just didn't understand how they worked. They looked really good as the adverts used spectacular images and video clips along with sound effects and high-energy music, to really highlight a simple transition, and they made them fast, like half a second instead of one second. These transitions do not come with spectacular images and sound effects and high-energy music.
I did an example of a tiling transition using the HitFilm Tile plugin plus a bit of rotation.
I looked at the first and third references again and noticed that the tiling effect is not even in Premiere, it's a plugin, albeit a free one. As well, in the first reference, notice that doing the transition took a lot of work. It probably took the guy many hours to develop the solution, and several hours more to prepare and make the tutorial. Don't ever think that these things are easy to create just because a tutorial is only 5 minutes long. You get the benefit of someone having spent the time to figure out how to create the effect.
Here is a screen shot of VPX timeline and Effects for the above case:
For the second reference, there is no transition, except that it goes from tiled to no tile. There is also a distortion and a border. The distortion in the second reference is actually a bit of a rotation, but I used distortion instead. This is fairly simple to do in VPX if you have the HitFilm Tile plugin. In the video below, the first pass is slow, the second faster.
Here is a screen shot for this case:
In both cases, I can save the effects and reuse them in other projects.