Here is a list of Host Candidates. Add your recommendations with a link to the the host plan features page. Indicate if SSH access is listed on shared web hosts. 9/14/2008 added slicehost to vps.
Hosts are divided into 3 categories: Shared, Virtual and Dedicated. (Cloud computing is a 4th hosting category not covered here, see links in the Research Tools at the bottom.)
Shared Web Hosting Service Candidates
BLUEHOST.COM
* SSH access: Yes (with picture id)
* Recommended by: ?
As of november 2015 situation of Bluehost is difficult. They use PHP 5.4 which means that drupal 6 is no longer supported. Alternative is PHP 5.6 which is beta. Tried to install drupal 8 with PHP 6 and it turns out it is missing PDO. Technical help of no assistance in this.
DrupalValueHosting.com
*Shell access: yes
*ValuePrivateIP Hosting (14 Available) - 200 GB Space, 1000 GB Bandwidth, Unlimited Domains, Unlimited FTP; Unlimited Subdomains, Unlimited Email Accounts, Unlimited Mysql DB; Cpanel with Fantastico (over 50 latest web applications autoinstalled) RESELLER Account with Dedicated IP, Shell Access ... Yearly Package: $15/Month
* Load problems reported in Seattle
OPENSOURCEHOST.COM
* SSH access listed: Yes
* Recommended by Robin
4GOODHOSTING
* SSH access listed: Yes
* Very affordable.
* $2.95 a month
* Recommended by Peter
PAIR.COM
* SSH access: yes
* rock-solid services; prompt + knowledgeable support; excellent documentation (KB, network status, etc)
* in addition to loads of static sites, we run a few low-volume Drupal sites there with excellent results; one caveat is that (as with most shared hosts) their usage policy forbids mailing lists; i.e. no simplenews -- arh1@drupal.org
POLURNET.COM
* SSH access listed: No
* Very affordable.
* I use the Silver Plus plan to host 6 low volume Drupal installations. I've had trouble free service for the past 6 months. - Jdwalling
TRONICTECH.COM
* SSH access listed: Yes
* Unsupported web hosting
* Good value for developers
* Recommended by Shawn
Virtural Private Server Candidates
AUTICA.COM
* From $44.95/month
EUKVPS.COM
* Basic Management
* Starter VPS Plans from $15.00/month
* Advanced VPS Plans from $34.00/month
HOSTICAN.COM
* From $44.95/month
HOTDRUPAL.COM
* $6 to $69 / month
* Drupal Centric Hybrid-VPS
LINODE.COM
* Starter VPS Plans from $19.95/month
* VPS! Getting Drupal up and running on a linode
* Just got rolling with a VPS on Linode (Part 1)
* Just got rolling with a VPS on Linode (Part 2)
* http://www.linodereview.com/
MICFO.COM
* From $34.95/month
24x7SERVERMANAGEMENT.COM
* From $30.00 to $80.00/month
MYRIADNETWORK.COM
* From $44.95/month
SLICEHOST.COM
* From $20/mo
* http://articles.slicehost.com/
* Drupal site: http://jeff.viapositiva.net/node/564
Dedicated Hosting Service Candidates
SOFTLAYER.COM
* Seattle Datacenter
* Starting at $160/mo
10TB.COM
* Seattle Datacenter
* Starting at $199/mo
Resources
Drupal requirements
DRUPAL HOSTING SERVICES
* Self identified Drupal hosting services
DRUPAL HOSTING FORUM
* Drupal forum: Hosting support
DRUPAL HOSTING ISSUES
* Drupal troubleshooting: Webhosting issues
WHOISHOSTINGTHIS.COM
* Find out who is hosting any web site.
* Results may be obfuscated by reseller arrangements.
YOUGETSIGNAL.COM or MYIPNEIGHBORS.COM
* Find out how many domain names are on the same shared web server.
MONTASTIC.COM
* Monitor your site's downtime.
Wikipedia: Shared web hosting service
* A shared web hosting service or virtual hosting service refers to a web hosting service where many websites reside on one web server connected to the Internet.
* Lower range costs
Wikipedia: VPS
* A virtual private server (VPS, also referred to as Virtual Dedicated Server or VDS) is a method of partitioning a physical server computer into multiple servers that each has the appearance and capabilities of running on its own dedicated machine. Each virtual server can run its own full-fledged operating system, and each server can be independently rebooted.
* Mid range costs
Wikipedia: Dedicated hosting service
* A dedicated hosting service, dedicated server, or managed hosting service is a type of Internet hosting where the client leases an entire server not shared with anyone.
* Higher range costs
Cloud Computing
* Wikipedia: Cloud computing
* InformationWeek Guide To Cloud Computing
* Cloud Computing Portal | Vendor List
* Wikipedia: Amazon Web Services | Amazon Web Services | Drupal AWS resources
* Wikipedia: Google App Engine | Google App Engine
* Cloud Status Amazon and Google