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As mentioned before, you probably shouldn't actually discuss this, but early on in the dating process, you should figure out what you want from the relationship. If you are looking for a long-term relationship, set some long-term dates, like going to Sky Tree on Christmas or a romantic getaway to Okinawa during summer vacation.
According to my Japanese husband, a Japanese man with a foreign girlfriend is seen to be 1) rich and/or 2) well endowed. Some of what you said holds true for my relationship, too-- like expectations of a psychic nature and general PDA, but because my guy spent puberty in England, he's a bit weird for here, I guess.
Their weird beliefs about genital size stretch so far as my husband's coworkers inquiring as to my "capacity" early in his days working at his company. I hate them and never have to meet them, and he gets to be known as Mr. Most of the really successful relationships between foreign women and Japanese men that I've seen involve guys who spent serious time abroad.
If you are looking for something casual, keep it casual and avoid meeting friends and family. What happens when your study abroad, volunteer, or internship experience is over?
If you are planning on continuing the relationship, you might need to set boundaries and long term goals for the relationship.
Dating apps are used all over the world to meet new people, whether for a simple one-night date or for a longer term relationship.