I know both are owned by the same people, but I went to Bombay Club for the first time last night (I've been to Rasika once - just moved here), and was impressed. I liked it better than Rasika. Maybe this is because I like spicy food, and at Bombay Club, they actually made our food spicy (green chili chicken, and med. on paneer makhni). At Rasika, we also requested "very spicy, as spicy as you can make it" for the spicy dishes (a lamb one and a kebab). Neither were spicy at all. The food was good at Rasika, but being from CA, I wasn't overly impressed with it (and even more underwhelmed when our food wasn't spicy). The food at BC I thought was a notch above Rasika (we also ordered the spinach and arugula chaat), and properly spiced. I think both were still pretty expensive - but that's DC I guess.
I will be frequenting BC much more than Rasika.
633 D Street, NW, Washington, DC 20004
815 Connecticut Ave., NW, Washington, DC 20006