I built something like this as custom user macro for Confluence Server to show related pages - it used labels on the page that were dynamically inserted into the Content by Label macro. Unfortunately, achieving something similar in Cloud (to meet your specific requirements) but using the same basic approach will need a custom macro installed as an app.
The next best thing might be to try the Content by Label macro or the Page Properties macros.
If you use the Content by Label macro, you will need to come up with a unique label structure that is only used on home pages, but that may be hard to enforce. But it will give you a nice simple list of links.
Page Properties will give you a bit more control, but may not look as good because it will display a link to the page + 1 other column of data (you could add a description).
Another approach might be the Search Results macro, as it has an option to search the space description (you can use "OR" in the search to match on multiple keywords in the description across multiple spaces)- again the way that macro displays might not be great for your purpose.
However, in all cases you would still need to configure the macro on each page to manually set the labels/CQL/search term you want to match with.
A custom app would be the the most elegant approach.
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