You would need to get permission from Zondervan to use it in openlp.org for display purposes. We removed it from openlp.org because of copyright issues.
Is this the same for the 'Good News Translation' ?
I'm not sure of the copyright of the Good News translation, but it'll be similar.
According to the copyright notice inside the NIV Bible, you're allowed to quote, display, and use a certain amount of the verses in the Bible without paying royalties. What this means for you is that if you manage to find a openlp.org format version of the NIV Bible, you can use it and display it. We, however, are not allowed to redistribute the copyright versions of the Bible without prior permission (which is impossible without some commercial kick back for the copyright holders).
That said and done, you could conceivably go to another site and download the NIV (and other versions of the Bible) and then import it into openlp.org... not that either myself or the openlp.org project are endorsing that...