From a functional perspective, the primary advantage of Bitcoin is it allows relatively fast transfers of money to be made to anywhere in the world at relatively low fees, without any pesky banking, bureaucratic and political middlemen involved and without having to kowtow to them to get access to your own money. Its peer to peer and decentralized transfers with all that implies, good and band. Bitcoins are also limited to 21 million ever being mined at a continually increasing difficulty in doing so, so there is also value in the scarcity.
Bitcoin has its share of problems including volatility vs fiat, but this is very early days in the beginning of an entire new world order. Just as a toddler first has to learn how to crawl, then to stand, then to walk, so do cryptocurrencies.
The other innovation that Bitcoin unleashed is the concept of a global transparent public ledger that no one owns or controls. It’ll be very, very useful for invoice accounting purposes, education history, work history, legal titles, letters of credit, etc. all of the kind of things that need to be verified near instantly to reduce costs and lower the risk of fraud and abuse.