Cargo bike with steering linkage
What you are thinking of goes by several names:


Front-loader
Long john
Bakfiets 


There are a variety of manufacturers of these style bikes available in the USA. Some of the big names are imported from Europe such as Bakfiets, Babboe, Riese &amp; Müller, Urban Arrow, but there is an American brand Yuba that manufacturs them too. There are many other smaller manufacturers as well.

If you expand to trikes with a basket in front, those come in even more names, and even more manufacturers.