There is no map projection that gets everything correct, because a 3d surface cannot be accurately projected onto a 2d surface without loss.
You can get projections that accurately show size, but not shape.
Or accurately show size and shape of landmass, but oceans get warped.
Etc. if you want accuracy you need a globe.
Is there a map that shows the more accurate sizes of these countries without the gaps?
Not without other tradeoffs.
There is no map projection that gets everything correct, because a 3d surface cannot be accurately projected onto a 2d surface without loss.
You can get projections that accurately show size, but not shape.
Or accurately show size and shape of landmass, but oceans get warped.
Etc. if you want accuracy you need a globe.
Interactive version
https://thetruesize.com/
https://en.wikipedia.org/wiki/Equal-area_projection
Or try looking at an actual globe. :)
Aptly named, thank you