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I work with several insurance agencies and I get this questions several times each month. Most agencies offer personal and business insurance and in a certain geographic location.

I recommend creating a quality general agency site but would they have more success creating other nice sites as well? For example, a niche site about home insurance and one about auto insurance.

What would your recommendation be?

I wouldn't consider the accordion good or bad for SEO. It's just a way of displaying your product information and has more to do with creating an organized and user friendly product list.

When Google crawls your site, all it sees is a page with your products listed and a description, not the actual accordion.

I see no problem with it as long as it's good relevant content like your product list is.