"has successfully started" is a correct and usable phrase in written English.
It can be used when describing an action that has been completed successfully. Example: The new restaurant has successfully started attracting customers within its first month of opening.
He has successfully started citrus growing, poultry, goat rearing and fishing.
The firms often tap someone who has successfully started and sold a start-up, hoping that lightning will strike twice.
The only major military operation in recent times that the Lebanese military has successfully started came in 2007 when it confronted Fatah al-Islam, an extremist Islamist organization.
The best of those vineyards are found in the Colchagua Valley, over the mountain from the Vik estate, where a new generation of winemakers has successfully started to wrestle great quality out of the bountiful grapes, applying an Old World artisanal approach to New World conditions.
Ultraviolet imager (UVI) on Akatsuki has successfully started Venus observations.
Jeff Widman has successfully started and sold two companies: PageLever & BrandGlue.
I have successfully started the car with the electronic key card.
They were seen carrying pollen, meaning that one of the released queens had successfully started a colony.
If I hadn't had the experience of working there and done all that networking, I could never have successfully started San Francisco Performances.
Mr. Clinton was to have taken the presidential helicopter to the village, spending about 90 minutes there in a primary school for girls and meeting with women who have successfully started small businesses with loans from the Grameen Bank.
An inebriated brainstorm with a friend, Peter Phillips (who had successfully started his own Elvis festival in Wales) saw the idea develop into a tiny Ted-themed festival where pilgrims could quietly come and celebrate the show together.
