Freeway is a feature-rich open source e-commerce platform which lets you sell services, subscriptions or events besides the standard products.
This e-commerce application is built with PHP and uses MySQL as the database.

A nice feature of Freeway is; it helps you promote your products with a powerful discount - campaign module which lets you create "get x and y is free" or "get 3 and 1 is free" type price breaks. And also, an included affiliate system lets anyone refer you and get a commission on sales.
Some other features of Freeway:
- Supports most of the popular payment systems
- Multilingual
- Newsletter management
- SEO friendly URLs
- Role-based admin
- Sales, stock, shipping and similar reports
- Ticket support feature
- SMS marketing
- And much more..
Freeway can be integrated to Joomla with the ready to use modules and modules for Typo3 and Drupal is on the way.
Requirements: PHP 4.3.9+, MySQL 4.1.12+, Apache Server
Übercart is an e-commerce suite developed for Drupal. With the end user in mind, focusing on usability at store configuration, product - catalog creation and order administration, Übercart is a simple yet powerful shopping cart solution.
Complete integration with Drupal makes Übercart stronger as there many modules, templates for Drupal. For example, you can easily add a forum, event system and even a digg-like voting system to your e-commerce website besides the products. Expansion limits are so wide.

Übercart is great for:
- Selling physical goods from any sized product catalog.
- Selling file downloads.
- Selling site access for members only websites, including automatic expiration and renewal of user access.
This free shopping cart for Drupal is integrated with many payment gateways like Cyber Source, Authorize.net, PayPal and shipping solutions like UPS, FedEx and USPS.
Übercart also provides an API to developers for integration with other codes.
Requirements: Drupal
Open source ASP.NET softwares are hard to find as, compared to our labguages, there are only few of them.
dashCommerce is an open source e-commerce software developed with ASP.NET & using Microsoft SQL Server 2005 for storing data.

dashCommerce has a functional interface which lets you navigate through the products with unlimited sub-menus or browse the products by price.
This shopping cart software also offers commercial versions which includes support for the product.
Features:
Inventory Control
Checkout / Order Management
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Order Messages / Email Notifications
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Configurable Tax Rates
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SSL based checkout
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Order Status Change Email Notifications for Customers
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Shipping Tracking
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Drop-In Configurable Tax Providers
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Drop-In Configurable Shipping Providers
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Drop-In Configurable Payment Providers
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Drop-In Configurable Coupon Providers
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Configurable Handling Fees
Supported Providers
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PayPal
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SimpleWeight Shipping Provider
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RegionCode Tax Provider
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Mettle Systems Tax Provider (Real Time, tax tables are updated monthly)*
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USPS (Real Time)*
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UPS (Real Time)*
Other Features
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Content Management
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Extensive Site Settings
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Widgets
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Drop-In Themes / CSS
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Fully Localizable
Requirements: Microsoft .NET Framework 2.0, SQL Server 2005 Express Edition with Advanced Services (Minimum), ASP.NET AJAX Extensions 1.0
PrestaShop, although it is in beta, is a complicated open source e-commerce solution.
Having a very powerful back-end, store admins can manage the inventory, orders, customers & payments easily. System never limits you as it supports unlimited categories, sub-categories & image pictures. Sub-admin users can be created with different permissions so when someone can only track the inventory another admin can be limited to processing the orders.

PrestaShop is a multilingual e-commerce software that any number of languages can be added to the system. As it is in beta status, there are exciting upcoming features like product comparison, wishlist or multiple websites.

This PHP shopping cart offers very nice features in the"front-end" like:
- Special deals (price reductions, gift vouchers)
- Text-message alerts
- Featured products on homepage
- Free shipping offers
- Cross-selling (Accessories)
- Order out-of-stock items
- Unlimited payment methods
- Multiple-recipient contact form
- Product tagging & tag cloud
- Offer gift-wrapping & recycled packaging
- PDF customer invoice
- Sale of services & virtual goods
- RSS feed
- Newsletter opt-in
- Pick up in-store option
Requirements: Apache Web Server, PHP 5.0+, MySQL 5.0+
Magento is an e-commerce software which is still in the beta version. On the other hand there are already many users loving it because of the way it works and its features.
I had known Oscommerce as the most popular open source e-commerce software since today but it seems like Magento may be the new one.
This is really a smart software which is standards-compliant, has templating, multilanguage features and many more. One of the features amazed the most is "you can manage more than 1 e-shops" from the same admin.
There is already an active community using the product where you can find for support too.

And, here is the admin screenshot. See how nice it is:

Requirements: PHP 5.2.0+, MySQL 4.1+