Ancestry has a couple of free access promotions running this weekend. The terms are pretty much the same for each, but check out the different expiry times.
Ireland and UK
First up is free access to Ancestry.co.uk and its UK and Ireland collection of some one billion records. You can see the full range of Irish collections here.
The free access weekend started this morning and ends at midnight on Sunday 8 February (23:59 GMT). You need to have an account (not a current subscription) in order to take advantage of the offer, so you'll need to register if you haven't already. It's free to register and you don't have to provide credit card details.
See the range of New Zealand collections here.
As with the UK promo, you need to register for free with Ancestry.com.au with your name and email address. A username and password is then emailed to you for access to the records.