Here are some comparisons I swatched for Burberry Summer Showers Lip Glow Balms and Nail Polishes. First for the nail polishes, Burberry Summer Showers colors are Orange Poppy No. 221, Pink Peony No. 222 and Pink Azalea No. 223 (swatches and original post here):
Dior Red Dahlia (discontinued)
Chanel April (swatched here)
Dior Mirage 338 (gel shines swatched here)
Chanel Rose Insolent (discontinued)
Tom Ford Coral Beach (discontinued, swatched here)
For the lip glow balms, there are coordinating colors for the nails/lips and cheeks, colors for Summer Showers are Orange Poppy No. 01, Pink Peony No. 02 and Pink Azalea No. 03:
Hope this helps with your purchasing decisions! You may have similar colors or dupes in your stash.