To me a "Computer Engineer" is the EE who designs the computer hardware. The answers above assume that you are really a "Software Engineer" and your vague question seems to support this assumption since I can only think of a couple of fields where someone who designs computer hardware would be welcome (e.g., consumer electronics, industrial electronics, and military).
If what you do is write code, then the growth industries I see are telephone apps, field automation, and robotics. Games are always being revised, but the tools have gotten so robust that a lot of that work is now done by techs.
Industrial in-house general-use programming goes in and out of favor on a pretty short cycle so I wouldn't recommend a BP or Alcoa for long-term job stability. On the other hand, embedded software in things like vehicles and consumer appliances is a huge and growing field since many companies change their products every year and the new stuff always takes new code.
David