We're planning on waiting until at least age 2 this time around. After age 2, the blood-brain barrier is more mature, so the vaccine ingredients ought to be less damaging. Plus, by then you're looking at a toddler rather than an infant; they're just tougher.
There are several shots that can be skipped, or have fewer doses, after a certain age... you'd have to look them up on the CDC catch-up schedule. I know Hib and pneumococcal disease become less dangerous the older you get, but we skip those shots anyway.