I have a 6" chop saw, and a smaller one with the slotting type blades. plus one like the first photo in your post.

Is the 6"

is the 2"
I know you don't have the harbor freight ones over there, but the 2" one is sold by a number of model tool web sites.
Machine mart might have something like it.
I use the 6" one for non ferrous and the 2" one for plastic, small dia brass, and wood bits.
The 2" or 50mm one can use the wheels that are sold for the Dremel type along with the small saw blades!

The version I have like in the first photo, has a lot of flex when cutting steel bar stock, and the vibrations tend to loosen the zip ties that hold the angle grinder in place.