The Barranca district is the place to go for cool, artsy, original items. The neighborhood is literally packed with artist's studios and work spaces. Puna Concept Store and Design Studio (above) is several stores in one. It carries books, art, homeware, accessories, and a custom scent shop. I loved the bags and leather accessories by Lima Sagrada: minimalist designs in beautiful colors and vibrant metallics and the incredible hand woven rugs (above).
Espacio GARUA (below) has gorgeous clothes and jewelry. They carry their own signature label as well as other brands like Vagrant and jewelry line Cromatic that makes earrings with flowers encapsulated in resin- LOVE!
TANIT ceramica (below) has beautiful, organically shaped ceramics and paintings inspired by nature. Natural ash is mixed into some of the pottery to give it a worn, antique texture that is earthy and stunning.