Your block of data looks like JSON. There is no native JSON parsing in bash, sed or awk, so ALL the answers here will either suggest that you use a different, more appropriate tool, or they will be hackish and might easily fail if your real data looks different from the example you've provided here.
That said, if you are confident that your variable:value blocks and line structure are always in the same format as this example, you may be able to get away with writing your own (very) basic parser that will work for just your use case.
Note that you can't really parse things in sed, it's just not designed for that. If your data always looks the same, a sed solution may be sufficient ... but remember that you are simply pattern matching, not parsing the input data. There are other answers already which cover this.
For very simple matching of the string that appears after the colon after "foo2", as Peter suggested, you could use the following:
$ data='[{"foo1":11,"foo2":222,"foo3":3333}]'
$ echo "$data" | sed -ne 's/.*"foo2":\([^,]*\),.*/\1/p'
As I say, this should in no way be confused with parsing of your JSON. It would work equally well (or badly) with an input string of abcde"foo2":bar,abcde.
In awk, you can make things that are a bit more advanced, but you still have serious limitations when it comes to JSON. For example, if you choose to separate fields with commas, but then you put a comma inside the <some value> in your data, awk doesn't know how to distinguish it from a field separator.
That said, if your JSON is only one level deep (i.e. matches your sample data), the following might work for you:
$ data='[{"foo1":11,"foo2":222,"foo3":3333}]'
$ echo "$data" | awk -F: -vRS=, '{gsub(/[^[:alnum:]]/,"",$1)} $1=="foo2" {print $2}'
This awk script considers commas as record separators and colons as field separators. It does not support any level of depth in your JSON, and depends on alphanumeric variable names. But it should handle JSON split on to multiple lines.
Alternately, if you want to avoid ugly hacks, and perl or python solutions don't work for you, you might want to try out jsawk. With it, you might use something like this:
$ data='[{"foo1":11,"foo2":222,"foo3":3333}]'
$ echo "$data" | jsawk -a 'return this.foo2'
[222]
SEE ALSO: Parsing json with awk/sed in bash to get key value pair