BigCommerce is an established player in the ecommerce space, mainly directed towards the bigger stores (as the name implies). All the ususal features are there, like integrations with lots of payment gateways, good SEO, extensive reporting and product reviews.
Bigcommerce has lots of features built in, while other platforms (looking at you Shopify) depend on third party apps. It already contains product reviews and ratings, shipping quotes and gift cards.
Pricing starts at @29.95 / month, for which you'll get a fully-functioning standard store, unlimited bandwidth, storage and products.
There are only 7 free themes but for about $150 you can get any of the 120 premium themes.
BigCommerce also offers an abandoned cart feature which is better than the competition, allowing for multiple reminder emails.
The app store is decent with over 600 apps available but Shopify clearly wins this one with more than 2000 apps.
Support is another strong point here, with phone support available for everyone. There is a free trial available, as you'd expect.