Since you put Woodridge first, I'm going to assume you figured people didn't know where Woodridge was, and added Naperville just "to be sure". Rest assured, the folks in DuPage County know where Woodridge is! (If you're indeed in Naperville, most of my suggestions may be a little too far for everyday shopping, but would still be good on a special trip.)
H-Mart is a great suggestion for your seafood needs, as is Supreme Lobster (which is closer to Woodridge than either the Caputo's in Naperville or the other place out in LaFox). For frozen seafood, check out the Westmont location of Westbrook Market (63rd and Cass)...it's also a great place for produce.
For meat, I'd suggest you take a look at Amici's in Downers Grove (63rd and Fairview), an Italian market with a GREAT butcher shop. Michael's in Downers Grove (75th and Lemont) has great produce, and their butcher shop can at times get what you want at GREAT prices. I'd go there first, and if they can't get what you want, then go to Amici.
For everything Eastern European, go to Brookhaven Marketplace in Darien (Cass and Plainfield). They carry a number of organic products as well.
There are a number of small Indian and Filipino markets in Woodridge and Downers Grove, and the Downers Grove location of Westbrook Market (63rd and Belmont) carries a large selection of Indian and Filipino products.
Hope this helps!