The best thing you can do is have a washi tape holder that will keep everything neat, organized and definitely easy to sort through. What's really awesome is you can actually build them entirely on your own. Check out any of these options and you'll definitely be happy with your results.
Craftaholics Anonymous® Washi Tape Storage Ideas
Mommy Monday: DIY washi tape dispenser
Washi Tapes Dispenser from a Box
Creative Stationery Masking Tape Cutter Holder Washi Tape Storage Organizer Cutter Office Tape Dispenser Office Supplies - AliExpress
Scrapbook & Cards Today Blog: Monday with Megan: Washi Tape Top Ten, Storage
Anthropologie Inspired DIY Washi Tape Dispenser - Sparkles of Sunshine
20 DIY Washi Tape Storage Ideas You Need to Control Your Stash
How-To: Wooden Multi-Roll Tape Dispenser - Make
Washi Tapes Dispenser from a Box
Easy Washi Tape Storage - Scattered Thoughts of a Crafty Mom by Jamie Sanders
Washi Tape Cutter, Washi Tape Organizer, Collection, Holder, Storage, Washi Tape Dispenser, Masking Tape, Storage Box, Case, Washi Tape Idea