I believe the one in the lower right is Nyatoran, although given the size difference could also be Harryham Harry, but I went with the former since it looks to be closer.
That still leaves the absence of most of the healing animals, plus Kururun (*LE GASP*).
Edit:
Nevermind, I found Kururun. His tail's sticking out of the basket. XD
Fuwa (unicorn form)
Star Twinkle PrecureRibbon
Happinesscharge Precure!Gurasan
Happinesscharge Precure!Puff
Go! Princess PrecureAroma
Go! Princess PrecureLulun
Futari wa PrecureKome-kome
Delicious Party PrecurePorun
Futari wa PrecurePekorin
Kirakira Precure a la ModeMepple
Futari wa PrecureFlappy
Futari wa Precure Splash StarChypre
Heartcatch Precure!Mipple
Futari wa PrecureCoffret
Heartcatch Precure!Coco
Yes! Precure 5Coupe
Heartcatch Precure!Nuts
Yes! Precure 5Mem-mem
Delicious Party PrecureNyatoran
Healin' Good PrecureChoppy
Futari wa Precure Splash StarLatte
Healin' Good PrecureHummy
Suite PrecurePam-pam
Delicious Party PrecureKururun
Tropical-rouge! PrecureCandy
Smile Precure!Potpourri
Heartcatch Precure!Tart
Fresh Precure!Sharuru
Dokidoki! PrecureRaquel
Dokidoki! PrecureRecipipi
Delicious Party PrecureRance
Dokidoki! PrecureYuunagi Tsubasa (bird form)
Hirogaru Sky! PrecureDavi
Dokidoki! PrecureMofurun
Mahou Girls Precure!