In terms of savings that are sat that with no intentions on them....none. It just hasn't been a priority, we had kids young so were juggling the childcare years, then we needed to buy a house and then upsize, now we are a 6 figure household with a mortgage and no childcare costs so I know we need to reprioritise. I've always been a firm believer in giving the kids the childhood I wanted them to have not wanting to prioritise savings, mortgage etc whilst we were raising children, I wanted them to have a big enough home, holidays etc (within our means, we haven't gone into debt, we just haven't prioritised long term savings, our savings are for the car, holidays, Christmas etc.
My defence is we are both public sector workers with good pensions and job security, with a good line of credit, insured to our eye balls and have the means of family support if really desperate. We can even move into very cheap housing through DH's work if needed. That said I have said to DH we need to be proper grown ups now and build a savings pot (that's not intended for holidays!) going to start small at about £300 a month and go from there, I want to get to £10,000 (3 months expenses) DH will leave his job and enter the private sector in a couple of years and will get a pay out of about £12,000 so with that combined it'll give us £20,000 about 6 months cushion, which we will want with DH being in less secure work.
It's going to take a very strong resolve, it's a very different mindset than we are used to!