I actually share a few of these wishes.
Direct links
Funny enough I mentioned this about a week or two ago in my own thread and I had the idea to have those "new tab" icons without their texts in a small size above the list. The admin that I was talking to made a note about it on GitHub so maybe we'll get it. :)
https://github.com/itchio/itch/issues/2126
Library list
Personally I'd also prefer if libraries would just be a single list of all owned games. No need to split things up so much especially when "/library/installed" is exactly the same as "/library/owned?installed=true" just with fewer filters and a single extra button at the top that could just be there at all times.
Would be nice to have a choice for list or grid view where list is the current setup and grid is almost the exact same as the store page(personally a WAY better solution than a list, but still have the option for those who do prefer it) just maybe a bit simplified.
Also a clear marking(icon in the corner, border or highlight) for installed games and an extended "Installed games" filter as "All/Installed/Not installed" would be nice.
The next idea/wish also applies here.
Less clicks to manage games
Install, Update, Uninstall, Tag(if support for custom filtering/sorting would be considered) and maybe even Open folder could all just be icons(maybe have text as well if enough space is left) both in the library(fixed in list and hover for grid) and in store pages to improve the UX.
I had to uninstall all my games just before I wrote this and it was actually pretty tedious even if it was "just a few clicks" for each element. A simple Uninstall icon then the current popup can come up, but with a added "Uninstall all" button within it.
Game icon in search results
That would actually be nice.
Maybe with a "Compact" view option next to the bar or within options for those who have limited screen space or just prefer that instead.