2nd conditional.

Nice attempt Yi Zhang. They are not all 2nd conditionals either. For lessons on conditional and how to use them correctly have a look at my teaching profile.

1. Yes, 2nd conditional. 

Correction: I would not mind traveling alone.

2. Yes, 2nd conditional. 

Correction: “the Colosseum.”

3. Should be 3rd conditional: 

If there had not been an economic crisis in 2008, we would have had….

(or "If there had been no economic crisis in 2008, we would have had….")

or mixed conditional:

…we would have a better life (today).

(or “better lives” but not *”a better lives”)

4. This one is tricky. It’s not clear what the word “either” is referring to. You say “here,” so I’ll imagine that you have already moved to Beijing, thus giving us the 3rd conditional:

If my sister had not been living in Beijing, I would not have moved here. It might actually work better as a mixed conditional, since she is presumably still in Beijing:

If my sister weren’t living in Beijing, I wouldn’t have moved here. (This makes sense in language, even though it may seem illogical that the cause is in the present and the effect is in the past.)

As a 2nd conditional: If my sister didn’t live in Beijing (now), I wouldn’t move there (referring to a conditional present that extends a little into the future).

5. Should be mixed 3rd conditional (if-clause), 2nd conditional (then-clause). Note that Camille’s version is correct, while Jerome mistakenly used the simple past in the if-clause (an error that native speakers often make when speaking in informal situations. He made the same mistake in number 3):

If I had moved to the UK last year, I would not have this job (now).

2nd conditional.

:)

2nd conditional.