We are planning to go on a trans-atlantic flight (> 10 hrs) with an infant. To help defray costs, we're considering just getting a "lap" ticket for our (would-be) 1 year old. Which airlines, in your experience, are best for accommodating infants? I would think these are the criteria:

 1. Shortest layovers.
 2. Most legroom in Economy.
 3. Accommodating, in terms of infant engagement (toys, puzzles, etc.) during the flight, seat assignments with bassinets capabilities, etc.

EDIT:
Our Route Sector will be to fly east from the US, to Europe, to Asia.