- No More Lonely Nights - Paul
- Instant Karma - John
- Whatever Gets You Through The Night - John/Elton
- Say Say Say - Paul/MJ
- With a Little Luck - Paul
Some non-standard replays, and my apologies to Ringo and George…
You should be apologizing to all listeners of good music* 
*Instant Karma excepted
mmm
Maybe these:
Paul: Jet
Ringo: Early 1970
John: Woman, Starting Over
George: Crackerbox Palace
Wow, this is tough. In no particular order, I’d go with…
George: Beware of Darkness
Paul: Live and Let Die
Paul: Nineteen Hundred and Eighty Five
John: Instant Karma
John: Watching the Wheels
Sorry Ringo, you didn’t make the cut, although “Photograph” might get in my Top 10.
In no particular order, and with the exception of the first two I’d have different answers if asked tomorrow or yesterday:
-The Ballad of Sir Frankie Crisp (George)
*-Live And Let Die (Paul)
-The No No Song (Ringo)
-God (John)
-Uncle Albert/Admiral Halsey (Paul)
*Would “Mull of Kintyre” or “Live and Let Die” count as solo projects since they were with Wings? If they don’t then I’ll substitute “My Sweet Lord” by George.
Of course if solo can be extrapolated into meaning “without another Beatle” (i.e. post-breakup) I can think of some others.
Meh…those are the ones that make me happiest most days. Perhaps because they haven’t been played into the ground. 
This is a toughie. The temptation is to fill this list with Paul stuff. I can easily think of a half-dozen Paul songs I prefer to any John/George/Ringo song. But I’ll be catholic in my tastes and include one from each, with two from Paul.
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George: When We Was Fab. I know, I know. But it’s a catchy song that grabs my ear, even if it is mostly pastiche. If this doesn’t count due to how heavily Beatles-influenced it is, I’ll go with Got My Mind Set on You. OTOH, if we’re allowed to include Traveling Wilburys, I might have to pick Handle with Care (but this is a shared credit, so I don’t know if it counts – plus, I think of that as a Tom Petty song – sounds most like his style).
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Ringo: It Don’t Come Easy. Let’s face it, not as much to choose from, alas. But it’s not just the ‘least worst’ of a not-very-promising lot, it happens to be a good song. Very of its time, but what’s wrong with that?
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John: Instant Karma or Imagine. I know the latter is overplayed like whoa, but separating it from the hype, I think the lyrics are just lovely. I could have gone with Jealous Guy too. Honestly I find it hard to listen to Starting Over and Woman – they’re so closely associated with his death, they make me cry every time. So I can’t really judge them as songs – too much emotion wrapped up in them. BTW, sort of off topic, but does anyone else find John’s vocal work post-Beatles to be rather… samey? Whereas during the Beatles years he had a very flexible sound, as a soloist he totally ODs on the dubbing. The majority of his vocals sound like he’s in a room lined with tin foil. A shame, because he had a great set of pipes.
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Paul #1: Yay! I get two Paul songs. Here I have a plethora of choices. Maybe I’m Amazed? Silly Love Songs? Uncle Albert? My Love? Jet? Band on the Run? Listen to What the Man Said? With a Little Luck? Even Coming Up makes me smile.
But no. I’ll go with a) Live and Let Die, because it kicks all kinds of ass. People call Paul fluffy? Maybe, but he also produced the rockinest song I can think of from a post-Beatle, and the only Beatles song I can think of that was as heavy is Helter Skelter, which is also Paul’s. Anyway, LaLD is just a hella sexy song. The instrumental break wouldn’t have been out of place in a Led Zeppelin track.
- Paul #2: The lovely little Jenny Wren. A gem of simplicity that still highlights Paul’s trademark interesting chord progressions. Could easily hear this as a companion to Blackbird. I also love his vocals here. They’re a bit weak but effective as always. Sixtysomething and he’s still got it!
Listen To what The Man Said
What Is Life
Working Class Hero
#9 Dream
All Things Must Pass
Personally, I think “It Don’t Come Easy” is the best of the post-Beatle works.
After that, would say:
“Maybe I’m Amazed” by Paul
“What is Life,” by George
“Live and Let Die” by Paul
“No More Lonely Nights” by Paul
I don’t dislike John, just my opinion.
Absolutely, and I think it applies to his music in general.
John was not nearly the same artist without Paul (and vice versa).
The combination of the two was far greater than the sum of the parts. IMO they were immeasurably beneficial artistic influences on each other, right to the very end of The Fabs despite their having become sick of each other. Which was hardly surprising, considering they had worked hard (and more or less lived) together for over a dozen years, seven of those years being in the spotlighted heart of a cultural hurricane.
.
This one deserves mention
Paul McCartney - Every Night
as does this
George Harrison had some pretty good “feel good songs”
My List)
- “Blow Away” - Harrison
- “It Don’t Come Easy” - Starr
- “All Those Years Ago” - Harrison
- “Band On The Run” - McCartney
- “Jet” - McCartney
Not in my top five, but I do really like the little-known Jenny Wren. Good choice.
mmm
I really like solo songs from all four, and considered listing “Starting Over” and “Apple Scruffs” among others to spread the love, but the truth is that my favorites are all McCartney. If I were to list another five, most if not all of those would be Paul too.
- Magneto and Titanium Man
- Uncle Albert/Admiral Halsey
- Let Me Roll It
- Venus and Mars (and the reprise)
- Jet
[ol]
[li]“Working Class Hero” - John Lennon[/li][li]“Uncle Albert/Admiral Halsey” - Paul McCartney[/li][li]“Isolation” - John Lennon[/li][li]“It Don’t Come Easy” - Ringo Starr[/li][li]“What Is Life” - George Harrison[/li][/ol]