Here's a few pretty common ones:
1) What is your greatest achievement and also the biggest failure/mistake that you made at your previous jobs?

2) Why are you leaving your current job? (almost 100% that this was asked in my previous interviews)

3) Where do you see yourself in 5 years? And what steps are you planning to take to get there?

Take it from someone who's been to A LOT of interviews...you'll find few employers who'll take the time to create their own questions, so the questions will be pretty generic.

Examples (and how to answer them):

1. WHAT ARE YOUR STRENGTHS?
Focus on how your skills can translate to making the company/organization *better*, such as, "communication," "meeting deadlines," etc... just make sure it's true.

2. WHAT ARE YOUR WEAKNESSES?
Trick question! Turn it around to a strength!! Examples, "I tend to help people too much," etc...again, make sure it's true. If you're a maverick or independent thinker, don't get sucked into a job that forces collaboration and "groupthink." You'll be miserable.

3. SCENARIOS
This is the HR department's equivalent of a "word problem." Each scenario will vary job to job, but try to clue into keywords. If you're totally stumped, don't fake through it. Honestly --and apologetically-- state that you don't know the answer; and always preface your shortcoming with an honest comment, such as: "That's a tough question. I honestly don't know." Also, ask for clarification if you're truly stumped.

4. HOW WOULD YOU DESCRIBE YOUR WORK STYLE?
Hopefully, you've done your homework about the company. If they value collaboration (like Google), underscore your ability to collaborate.