I'm sure you'll find something, but traveling to India in J is a must.
I did it on Y once on AI, and it was brutal! You red-eye to CDG, then arrive in India about 12:00AM, and with a morning connection @ 7:00AM, clearing customs at 2:30, it's hardly worth the hotel room.
I've done JFK-FRA-SIN, no problem, but the red-eye to India that stops half-way through is nasty.