The best single-peptide trial is for palmitoyl pentapeptide-4: a 12-week, placebo-controlled, split-face study of 93 women found fewer visible fine lines on the peptide side. It was run by the company that developed the ingredient.
Argireline has a randomized, placebo-controlled study of 60 people showing smoother lines around the eyes after four weeks. Copper peptides have strong lab and wound-healing data, but few modern controlled trials of the cosmetic serums people buy.
Reviews of cosmetic peptides keep landing in the same place: promising, generally well tolerated, mostly small and short studies, and much of the work is funded by ingredient makers. Whether enough peptide gets through the skin barrier is still an open question for many of them.