Kraken is a US-based cryptocurrency exchange and one of the largest bitcoin exchanges in terms of volume and liquidity.
It provides Bitcoin pricing to the Bloomberg Terminal and has considerable influence on the overall crypto market. Kraken offers a number fiat funding and transfer options.
There are 18 BTC pairs and 16 USD pair to trade
Fees vary depending on the volume - for main trading pairs this is between 0.1-0.35% - however for other less common crypto pairs the range can be as low as 0.05% or as high as 0.75%. There are also 0% fees for some trades.
Withdrawals and deposits are variable depending on the method - although in general all fees are 0.19% with a $20 minimum.

BigONE is an exchange that is backed by the blockchain investment firm INBlockchain; an influential investment company that has also invested in EOS, ZCash, Steemit, and other blockchain projects. Several of the companies in INBlockchain's portfolio, that have tokens, are traded on BigOne. BigONE's influential investors give the exchange a high degree of financial stability. The platform is known for its interactive crypto charts and trading tools.

Trading Fee: 0.1%
Withdrawal Fee: 0.002 BTC
Number of Tokens/Coins: 76

BigONE has its own token (BIG) that gives holders a discount on trading fees

Bancor is a decentralized exchange protocol that is designed to increase liquidity for Ethereum and EOS tokens. The company has been at the center of the debate about Decentralized vs Centralized Exchanges, as well as the overall need of institutions to serve as a hub for decentralized networks. Their protocol, and exchange, enable any token to hold one or other additional tokens in reserve. Bancor allows conversions between tokens on their decentralized exchange with smart tokens that increase liquidity, and establish market prices for smaller tokens. Specifically, for those that do not have large trading volumes. Bancor tokens facilitate the exchange and act as a connective tissue, and have a centralizing effect on the exchange.