I've been successfully using Witch to restore normal window-tabbing (in place of application-tabbing): https://manytricks.com/witch/
Unfortunately after MacOS ~Vista~ Catalina you still need to grant Witch permissions for each application you're alt-tabbing to that Witch hasn't seen yet, but considering I use ~6 apps 99% of the time, this works for me.
To get simple window tiling/placement, I found BetterSnapTool to be sufficient for my needs: https://apps.apple.com/us/app/bettersnaptool/id417375580?mt=...
It handles magnetic corners and placement via hotkey. I mostly work with a dock and external keyboard, so I bound CMD+SHIFT with numeric keypad buttons to reflect the placement (e.g: CMD+SHIFT+NumKey7 -> put the window in the top-left corner). I don't miss the hotkeys when I'm without dock because anyway the screen would be too small, so I resort to just alt-tabbing.
My new windows used to split an ever smaller portion of my screen in a fibonacci spiral based layout. I could also move between windows with hotkeys.
Rectangle is useful in a pinch, but it's no tiling window manager.