How can I write a regex which matches non greedy?

The non-greedy ? works perfectly fine. It's just that you need to select dot matches all option in the regex engines (regexpal, the engine you used, also has this option) you are testing with. This is because, regex engines generally don't match line breaks when you use .. You need to tell them explicitly that you want to match line-breaks too with .

For example,

<img\s.*?>

works fine!

Check the results here.

Also, read about how dot behaves in various regex flavours.

The ? operand makes match non-greedy. E.g. .* is greedy while .*? isn't. So you can use something like <img.*?> to match the whole tag. Or <img[^>]*>.

But remember that the whole set of HTML can't be actually parsed with regular expressions.