Hello Kiivi,
Suribachi & Wooden Drop Lids
These items are available most anywhere in Japan. You could try Nishiki Market, but that is more for food stuffs and a bit pricy. For an adventure, check out the Kyoto Wholesale Food Market. The West and Southish side of the market has a number of shops and stores that sell cooking utensils and so on. (Best to go in the morning as the shops are pretty much closed by lunchtime.)
http://openkyoto.com/sightseeing/kyoto-wholesale-food-market.html
Sweetfish
Sweetfish are in season in early summer. Most fish restaurants serve them. There is one that I like in Nishiki Market, it is an old fishmonger that recently opened a very nice fish restaurant back behind their store. The name escapes me at the moment but I will get it for you and post it here in a few days.
Do you know about sweetfish confection? They are one of my favorites! Check out the article below.
http://kyotofoodie.com/wagashi-ayugashi-waka-ayu-sweetfish-confection/