PO used elbow height on their bar counter. He was tall. As a result, bar stools made people feel like little kids. No one sits there, so we stashed the stools and just use it as a pass through. upcoming remodel says bye-bye to out of standard counter height.

is the height of kitchen island and kitchen counter the same?

That is correct.

Related question: I have a new kitchen that is going to be installed. Base cabinets are standard 34.5". I am getting 3 cm granite with a 3 cm laminated edge for a 6 cm look. Questions: 1. how high will my countertop be with this laminated edge? 2. I have an island with one a dishwasher and sink and the free standing range is on the counter by the wall. Should we NOT shime the cabinets by the wall and then install the 1/2" floor tile to help offset the counter height and allow the stove to better fit? 3. And then I assume we must shime the Island base cabinets a 1/2" or the washer will not fit, correct? Desperate for advise as now one seems to have a clear answer on this issue with the thicker counters.

@stolenbuick, May I ask if you hired an architect, interior designer, or is this DIY? Questions such as this are my worst fear in our upcoming remodel so I chose to go with an architect.

@Andrea - have a look at this site... might be helpful. https://www.improvementscatalog.com/RoomForImprovements/how-to-choose-the-right-bar-stool-height/ 

What is the depth of the counter and worktop on this photo?

The stone counter is 2'-1" and the wooden counter above is 2'-0" and overhangs the lower stone by one inch.

And what is the depth of worktops on other units (hob and the one to the right)? Is it 2'1" as well?