Totally agree with you OP! But I'm a blues-rock snob, so there ya go! Not a technician or into the neoclassical thing.
My favorite solos that I feel have great melody and phrasing and feel:
Hotel California - Eagles (THE solo that got me into guitar - gotta love Joe and Felder)
Get Back - Beatles (super simple yet sometimes less is more, and for me it is most of the time)
You Shook Me All Night Long - AC/DC (gotta love that vibrato and energy)
Sympathy For The Devil - Rolling Stones (I love the bright stringy sound Keef gets)
Comfortably Numb - Pink Floyd (not even a PF fan, but this one oozes taste and feel)
Walk This Way - Aerosmith (love the bendy licks Joe does in this)
I Can't Tell You Why - Eagles (an underrated piece done by Glenn that is extremely fluid and simple yet perfect)
Who's Cryin' Now - Journey (Neal does more fast shreddy stuff nowadays but I wish he'd get back to this stuff, so melodic)
My Sharona - Knack (guilty pleasure, but I freakin' love this solo by Berton Averre! Turns a cheesy pop tune into a likable one for me)
That Smell - Lynyrd Skynyrd (you can keep the Free Bird solo, I'll take this featuring three solos from Gary, Allen, and Steve)
One Of These Nights - Eagles (I love this solo by Felder - very horn-like)
All Right Now - Free (Koss had great vibrato and it's not too hard to learn)
Rock And Roll - Led Zeppelin (great fun solo)
You Make Loving Fun - Fleetwood Mac (my favorite solo by Lindsey Buckingham)
Take It On The Run - REO Speedwagon (Gary was very underrated and I love his solo on this)
Strange Brew - Cream (my personal favorite Clapton solo)
Blue Sky - Allman Brothers (love Duane and Dickey's playing)
Keep Your Hands To Yourself - Georgia Satellites (love those Chuck Berry-isms throughout)
November Rain - Guns N' Roses (awesome singing sustain solo)
Honky Tonk Women - Rolling Stones (country solo with balls)
Ok, there's 20. I could go on all day but I'll leave some for some other people.