Here is a list of the top-rated best web design companies. They typically have a deep bench, lots of experience, and reviews to back their work.

WEB DESIGN AGENCYCLUTCH OR GOOGLE RATINGBUDGETFOUNDEDSIZELOCATION
Razorfish4.6/5$25,000+199520,000+Boston, Massachusetts, USA
Deloitte Digital4.7/5$10,000+--9,000+New York, New York, USA
Tiny Frog Technologies4.9/5$5,000+200310 - 49San Diego, California, USA
22squared4.3/5$10,000+1922350+Atlanta, Gorgia, USA
Grey Global Group4.5/5$25,000+--2,400+New York, USA
R/GA--$25,000+19702500+New York, USA
Huge4.8/5$25,000+20001200+Los Angeles, California, USA
Clay4.8/5$50,000+200910 - 49San Francisco, California, USA
Fresh Consulting4.9/5$50,000+2007200+Bellevue, Washington, USA
360i4.6/5$10,000+1998250+New York, USA
AKQA--$10,000+19942,100+San Francisco, California, USA
Cramer-Krasselt--$25,000+--250 - 999Chicago, Illinois, USA
Conversant--$25,000+199130 - 49Boulder, Colorado, USA
Lounge Lizard4.7/5$25,000+199810 - 49New York, New York, USA
Huemor4.7/5$50,000+
2011
10 - 49New York, New York, USA
Bachoo4.9/5$10,000+2015
10 - 49El Segundo, California, USA
3 Media Web4.9/5$25,000+200110 - 49Marlborough, MA, USA
Adchitects4.9/5$25,000+201610 - 49Poznań, Poland
Soda Web Media5.0/5$5,000+20172-9Atlanta, Gorgia, USA
Bop Design4.9/5$25,000+200811-50San Diego, California, USA
Thrive4.9/5$10,000+200210 - 49Seattle, WA, USA
Kobe Digital4.9/5$1,000+--10-49Los Angeles, California, USA
WebFX4.9/5$1,000+1995250 - 999Harrisburg, Pennsylvania, USA
Eight25Media4.0/5$25,000+201150 - 249San Jose, California, USA
Azuro Digital5.0/5$5,000+20185+Ottawa, Toronto, and Calgary (Canada)