A combi boiler is more complicated than a conventional, so has more inside it to go wrong. Some of the parts which are now internal (such as the CH circulating pump) are present, but elsewhere, in a conventional boiler so easier and cheaper to fix without needing a gas-qualified heating engineer or a special part. Additionally, some of the early combis were cheaply made and unreliable (some tended to leak or block, and some had aluminium heat exchangers which corroded within a few years). A Combi has an additional heat exchanger for the hot water.
When having a new boiler fitted to an old installation, it is vital to have it properly cleaned, usually by powerflushing, with a sediment filter fitted to catch the remaining dirt, and an anti-corrosion chemical added. Heat exchangers, especially in combis, are easily blocked by sediment, and this will not be covered by the manufacturers guarantee.
Installers like combis because they can be installed fast, so maximising profits. Some buyers like them because they are cheap. The combination of fast and cheap does not usually go with a good-quality installation.
The better brands like Vaillant and Worcester-Bosch are considered quite good. There are still some cheap ones, especially in the DIY sheds, that are bought by people who want a cheap product.
When I had a new boiler in my own home, I got a Viessmann, because it has a Stainless Steel heat exchanger which will not corrode, and a long parts and labour guarantee. I chose a Conventional boiler because it has hardly any internal working parts to go wrong, and because I like baths and cylinders. A Megaflow would have been a more modern alternative.
Look at the manufacturers' websites for an approved installer who has been on their (free) product training course. When you phone, ask "do you repair xxx brand boilers?" because you want someone who is capable of working on it, not just bunging it on the wall and running off with your money.
You can usually rely on BG to give the most costly quote.