Despite having to make cuts to its dividend, next year the shares of banking giant Australia and New Zealand Banking Group (ASX: ANZ) are still expected to provide investors with a market-beating fully franked 6.4% dividend according to CommSec.

As the shares are trading at just under 1.3x book value, I believe ANZ is a great option for investors that are on the look out for strong dividends and don’t have exposure to the banks already. But for those that are already invested in the banks, these three shares might be better options for the sake of maintaining a diverse portfolio.

Cover-More Group Ltd (ASX: CVO)

Travel insurer Cover-More has seen its share price take a huge dive this year following an unexpected profit downgrade due to incurring far higher insurance claims costs than expected. Whilst this was disappointing, the company has been working hard on these underwriting issues and remains confident that it will find a solution. Due to the sell off its shares it is now expected to provide an estimated fully franked 6.4% dividend in FY 2017. If the underwriting issues are resolved then I think Cover-More could prove to be a great investment thanks to the strong growth in tourism worldwide.

Dicker Data Ltd (ASX: DDR)

Dicker Data is a wholesale distributor of computer hardware, software, and related products. So far this year it has delivered a strong performance thanks partly to the success of new vendors introduced last year. In its first quarter the company delivered year-on-year revenue growth of 11% to $268 million. The company pays a quarterly dividend, with the most recent one being a fully franked 3.8 cents per share. Annualised this equates to 15.2 cents per share, which would mean a fantastic full year fully franked 8.6% dividend for investors.

G8 Education Ltd (ASX: GEM)

G8 Education is expected to pay an estimated fully franked 6.8% dividend in FY 2017. I’m a big fan of the company and believe there is a lot more growth to come for the childcare operator. Its management team has estimated there to be an addressable market of up to 4,000 centres. With the company operating 471 centres in Australia and 18 in Singapore, I would expect its growth through acquisition strategy could continue for some time to come.

Lastly, if you already own these shares then here are three more new breed blue chip shares which provide solid and growing fully franked dividends. Each could be a great addition to your portfolio in my opinion.

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Motley Fool contributor James Mickleboro has no position in any stocks mentioned. The Motley Fool Australia has no position in any of the stocks mentioned. We Fools may not all hold the same opinions, but we all believe that considering a diverse range of insights makes us better investors. The Motley Fool has a disclosure policy. This article contains general investment advice only (under AFSL 400691). Authorised by Bruce Jackson.