With your property size and likely heat loss, the bottom end modulation of the boiler is more important than its peak power. Around 80-90% of your gas bills go on space heating rather than hot water generation / cooking, so that's where efforts should be focused on trying to reduce consumption. System boilers tend to be based on combi boilers with the hot water circuit removed (effectively) and so lower powered system boilers tend to be high powered ones which have been de-rated by software. Thus, within the limits of your existing gas supply, having a higher power boiler isn't necessarily a problem and can be beneficial for hot water reheat times provided said boiler can also modulate low enough to provide sensible output for your heating, and can be range rated.
So, for a quick summary of what's out there that might suit you...
The Vokera Pinnacle 20S is a 20kW system boiler, but it'll modulate down to just 1.8kW, is capable of hot water priority via OpenTherm controls, and can be range rated. Also excellent value for money and carries a 10 year warranty. You get the best of both worlds - fast cylinder reheat, and very low heating modulation.
Vaillant's 10kW system boiler is a de-rated 20kW, which actually boosts all the way up to 24kW for hot water priority cylinder reheating. Modulation down to 2.8kW. The downside is that you can only make it do this with Vaillant's own controls, which are expensive.
Worcester's 12kW is a de-rated 15kW. Modulation down to 1.9kW, capable of hot water priority with the addition of an internal diverter kit. I think it can be made to do this with 3rd party controls but load / weather compensation is only possible with Worcester's own controls, which again are comparatively expensive. No power boost for hot water production, the 12kW does 12kW, the 15kW does 15kW.
Viessmann's 100-W 11kW is a de-rated 19kW which will still boost up to 17.5kW for cylinder reheat. Modulation down to 3.2kW, will accept OpenTherm controls.
Viessmann make the 111-W wall-hung storage combi in 25kW, which has a 46L internal cylinder. Modulation to 3.2kW, OT controls, more compact form factor than separate boiler & cylinder, but about the size and weight of a washing machine on your wall.
Alternatively Viessmann do the 222-F, which is the closest thing on the market to what you have now. Everything in one box 1400×600×600mm standing on the floor. The 19kW pulls 23kW for reheating the internal 100L cylinder, and it'll modulate down to 1.9kW. Not OpenTherm, best used with Viessmann's own controls, expensive at around £4000 by the time you've bought the boiler, flue, and controls. Doesn't have an immersion heater so you lose that benefit over a separate boiler & cylinder setup.
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The major downside of going for separate boiler & cylinder is that they do always take up more space, even with a small cylinder. The major advantage is that you get a much longer warranty on the cylinder, and immersion heater backup. I had this one custom made for a customer a few years ago but there are more off-the-shelf fast-recovery small size cylinders out there now. Telford do a 90L High Gain. This particular setup uses an Intergas Xclusive boiler, which again was the best available at the time, but things have moved on since and at 3.6kW minimum output it's likely just too powerful for your home, albeit significantly better than what you have now. Also, they're very tall boilers which increases the amount of space required for a successful installation. They are OpenTherm though, and the smallest 24kW boiler reheats a cylinder in no time at all.
So, what's best for you? If you want something with hot water storage then of the above I'd say either Vokera 20S and a Telford 90L, or a Viessmann 222F 19kW if the budget will stretch. I should say though that a spanner in the works of all the above may be that you're in a flat. Since the Grenfell disaster, regulation changes mean that any building taller than 18 metres is subject to additional fire regulations. Boiler flues in these buildings must now be metal both externally and internally. Most manufacturers standard flues are plastic internally and so cannot be used. Some manufacturers produce flues for this application, but would need to check before committing to anything, if your building is in excess of 18m tall.
I know Nuneaton, I have family in that area, and it's about 45 minutes from me. A bit out of my usual area but I can be persuaded to travel for an interesting job