Apparently I got the flickering problem in 6.1 resolved after I botched an attempt at downgrading back to 6.0.5-for-Lion and then had to re-install 6.1 (7537.71) via Software Update.
I'm not sure which step was the key to sorting out the problem, so I recommend not to repeat what I did as I didn't succeed in my primary goal to go back to 6.0.5.
What I would recommend trying out nevertheless is to trash:
1) the contents of the 'Safari' folder in your user Library folder:
~/Library/Safari
2) your Safari user preference files in the Preferences folder:
~/Library/Preferences/com.apple.Safari.plist
~/Library/Preferences/com.apple.Safari.plist.lockfile
Beware, this deletes bookmarks, extensions, reading list items, top sites, preference settings, etc. To make a backup of the bookmarks first, use File > Export Bookmarks in Safari. The exported file can later be re-imported (File > Import Bookmarks) and be re-arranged in the Bookmark editing window (Cmd-Option-B). The exported file can also be imported in other browsers, e.g., Firefox...
To access the (hidden) Library folder in your user home, open some Finder window, hold down the Option key, and from the top menu bar, choose Go > Library.
BTW:
Other 6.1 bugs remained unresolved: going to the 'Google Translate' page instantly crashes Safari. Also, I discovered a quirk in the bookmarks editing view that required quitting&relaunching Safari several times to drag my re-imported bookmarks from subfolders to the top level ...
(PS: Again, I don't know what was the key factor, so I just describe what I did: Deleted the folder/files listed above, plus the folder /System/Library/StagedFrameworks/Safari. Then I ran the Safari 6.0.5 install package that I had downloaded from the Macupdate site, which succeeded. However, Safari crashed on launch. I then decided to reinstall 6.1 and did this by running Software Update from the Apple menu.)