BeautifulSoup: just get inside of a tag, no matter how many enclosing tags there are

Short answer: soup.findAll(text=True)

This has already been answered, here on StackOverflow and in the BeautifulSoup documentation.

UPDATE:

To clarify, a working piece of code:

>>> txt = """\
... <p>Red</p>
... <p><i>Blue</i></p>
... <p>Yellow</p>
... <p>Light <b>green</b></p>
... """
>>> import BeautifulSoup
>>> BeautifulSoup.__version__
'3.0.7a'
>>> soup = BeautifulSoup.BeautifulSoup(txt)
>>> for node in soup.findAll('p'):
...     print ''.join(node.findAll(text=True))

Red
Blue
Yellow
Light green