I'd suggest Earthbound first and foremost because it's a classic and it's crazy and awesome. So I guess that would count as the classic JRPG I'd suggest.
And then to get a full spectrum of games I'd suggest Persona 3,4 for the JRPG/dating sim, Valkyria Chronicles for the new take on SRPG, Final Fanasy Tactics for an old great SRPG, Demon's Souls for an Action RPG and the most interesting online implementation I've ever played in an RPG, and then I get a bit stuck thinking of a fast paced Action RPG you should try but the Kingdom Hearts series fits the bill pretty well.
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