Fundamentally, Bitshares is one of the more well-developed cryptocurrencies and have many features such as smart contracts, price-stable currencies, decentralized asset exchange, scalability, dynamic account permissions, recurring and scheduled payments, a referral rewards program for contributing to network growth, regulation-compatible user-issued assets, stakeholder-approved project funding, and transferable named accounts. They also have a fairly active community and well-funded development. Many of these features could eventually be leveraged to build financial applications for the underbanked in emerging markets that are increasingly being connected to the internet and need a access to fast and cheap ways of sending and storing money on the internet.
BitShares are built on the unique Delegated Proof of Stake (DPOS) algorithm. This proof of stake algorithm actually solves a lot of the problems bitcoin is having right now with development, specifically that the miners in Bitcoin are holding back development. In DPOS, the stakeholders have all the power and if the miners ( aka "witnesses") don't stay neutral then the stakeholders can elect new witnesses and the miners will no longer get paid for their blocks. This gives stakeholders and developers far more power over the development of the network, and prevents powerful centralized miners from having undue influence over the network. This is such a major problem for Bitcoin because there are so many significantly more robust and innovative coins that have far more features being released and developed, and because the Bitcoin miners have decided to hold back development and prevent any new features from being added to Bitcoin , Bitcoin will likely see a major loss of market share as companies and individuals use blockchains with far more features to build their financial applications on, instead of Bitcoin's blockchain which continues to be stuck at an impasse with development even as far more innovative coins are released and gain market share.