Hi Ilya,
All the Epson media I've tried (Premium Glossy/Semi-Gloss Photo Paper 250, Photo Grade Semi-Gloss, Enhanced/Double-Weight Matte) work fine on my iPF8300, though you'll need custom profiles for each. The only media that weren't very satisfactory (poor gamut) were Epson's Radiant White Watercolour and an old roll of their semi-glossy(?) canvas. The Enhanced Matte is also stuffed with OBAs and 'yellows' fairly rapidly, so I wouldn't use that for anything long term. These are all old stock from when I used to run an Epson 9600, I don't know what their current range are like but I doubt they'd be any less compatible with the 8300. I still use my remaining stock of PGPP(250) for paying customers who need high-gloss, 'photo' prints, with excellent results.
Otherwise, for high-quality media (I do principally art reproduction) I recommend the Canson Infinity range, or Breathing Color's 'Lyve' for canvas prints, if you can get them.
Best regards,
Malcolm