The following website lists UK parliamentary petitions.
You can download the data in json or csv format.
The top ten petitions over the last few years are:
1 EU Referendum Rules triggering a 2nd EU Referendum
2 Prevent Donald Trump from making a State Visit to the United Kingdom.
3 Give the Meningitis B vaccine to ALL children, not just newborn babies.
4 Block Donald J Trump from UK entry
5 Stop all immigration and close the UK borders until ISIS is defeated.
6 Accept more asylum seekers and increase support for refugee migrants in the UK.
7 Consider a vote of No Confidence in Jeremy Hunt, Health Secretary
8 Donald Trump should make a State Visit to the United Kingdom.
9 Make the production, sale and use of cannabis legal.
10 Stop spending a fixed 0.7 per cent slice of our national wealth on Foreign Aid
Over the last year or so Brexit, the EU and a possible official visit by Trump to the UK are big issues, immigration and health are also prominent. There are some right wing petitions: 5, 8 and 10. Number 5 is calling for something like Trump's travel ban in the US. And some left wing petitions: 2, 4, 6 and 7.
If we take all the petition titles and remove the stop words we can generate the following word cloud:
The following post from my code blog explains how to generate word clouds.