The challenge is making it safe enough / rapidly reusable enough. If you're at just suborbital speeds, the temperature from the adiabatic compression on reentry is intense, and it's a technical challenge to handle the heating either non-ablatively, or ablatively but with cheap, safe rapidly re-applicable ablative material.
If you fly out with your lawyers and team, you could spend the 3 hours prepping, and the 3 hours back drinking the celebratory champagne.
ICBM:s do it by flying trajectories with multi thousand kilometer apogees, crossing radiation belts etc. It's cheaper that way than going into a shallow high speed trajectory which requires almost orbital speeds and higher energies. (Even this wasn't obvious before ICBM:s - they worked on atmospheric cruise missiles like Navajo in parallel.)
So, point to point does not look very synergistic with these suborbital technologies. New York to Europe is around 6000 km, still a factor of 60. Transatlantic point to point is far closer to orbital flights really than these space hops.
Tokyo - Frankfurt would be great as well since (a) Germany and Japan have a lot of ties in their manufacturing industries (ex: autos) and (b) since Frankfurt is the international air-travel hub of Europe.