Excellent set of finances.
I would personally have less money in term deposits and state savings. I think you are probably being a bit too cautious with those funds, given two public sector incomes. Fair enough that some of it is matched to an upcoming expense, but a lot is just sitting in low return safe accounts with no clear purpose. Can this money be put to better use?
Then when it comes to annual savings flows into the future:
A key issue is whether you wish to give yourself or your spouse the option of retiring early. If so, then a cheap fund in an AVC or AVC PRSA structure might make sense for you. I would be doing this (1) in case I changed my mind about retiring early or my health deteriorated over time making work a chore and (2) you can always funnel some of your high retirement income to your children through gifts. So, I would look at what is available as an AVC through work and as an AVC PRSA through a broker. There is a wealth of information on this site about how to examine these options. If you are not comfortable picking an investment fund yourself, you may have to pay higher fees for advice. But, I would definitely recommend that you contribute for reasons (1) and (2) above. There's upside, with limited downside in your circumstances.
Then given your stated priority, I would then look very closely at bare trusts. I would look for the cheapest possible way to invest in an all-equity fund in the names of each of the children. Gift €3,000 x 2 to each child per annum (total €12,000) to use up you and your spouse's gift tax exemptions. The investment horizon of your children is, at a minimum, 10-12 years and so an all-equity allocation is appropriate. I would set this up as on an execution only basis with the lowest fees possible. There are discount brokers that post on this site like Gerard Sheehy, Liam Ferguson, and LA Brokers that should be able to set this up for you, but they will not provide any advice on what fund to select. Again, if you need advice, you'll have to pay higher fees.
If you have much remaining savings per annum after additional pension contributions and bare trust contributions, then I would pay that off the principal of the mortgage.
Well done. You're flying!