I use Pop!Shell, Blur My Shell, Dash to Dock, and one for connecting and disconnecting bluetooth devices that I can't remember the name of because I'm in Sway right now. Pop!Shell provides more tiling options than stock Gnome, as well as automatic tiling.
I use:
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Bluetooth Quick Connect: does what it says on the tin
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Caffeine: toggle switch to disable screensaver (less necessary nowadays than it used to be)
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Freon: Fan speeds and temperatures in the bar (requires lm-sensors)
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Native Window Placement: Makes windows keep their relative position in the activities overlay, instead of being displayed side by side
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Impatience: Speeds up animated transitions
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GSConnect: native Gnome implementation of KDE Connect. Allows SMS messaging, file transfer, contact synchronization (among other things) with an Android smartphone (requires KDE Connect application on phone). This one is pretty cool. It will do shit like cut the volume down to 10 percent when you answer a phone call.
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I don't use GNOME anymore but back when I did, I had
- Tray Icons because GNOME devs apparently decided that having a tray was cringe.
- Dash to Panel (not Dash to Dock) + Arc Menu for the proper task bar + application menu experience.