(covers information from several alternate timelines)
This page contains information regarding Star Trek: Discovery, and thus may contain spoilers.
The Crossfield class was a type of Federation starship in service during the mid-23rd century. Its design consisted of a saucer section, a wide secondary hull, and two elongated nacelles. Two ships of the class were equipped with an experimental spore drive propulsion system, the USS Discovery and its more advanced sister ship, the USS Glenn.
Crossfield-class starships were equipped with at least six tractor beam emitters for towing objects in space, two on the ventral engineering hull (port and starboard), and two above the aft doors to the cargo bay to guide boarding shuttles, and two dorsal on the inner-ring of the saucer section. (DIS: "Context Is for Kings",ST: "Calypso")
To facilitate the operation of the spore drive, the saucer section was divided into three concentric sections separated by gaps. When engaging the spore drive, the ship went into black alert, which alerted the crew to the drive's activation. The outer and middle sections housed rings that could rotate clockwise and counter-clockwise respectively, so as to provide excess energy cavitation. (DIS: "The Butcher's Knife Cares Not for the Lamb's Cry")
Two known ships of this class were utilized by Starfleet to test a theoretical spore drive, following the outbreak of war with the Klingons in 2256. Shortly after achieving a breakthrough, the USS Glenn was crippled and all crew killed in an accident. She was then scuttled by her sister ship, the USS Discovery. (DIS: "Context Is for Kings")
Ships of this class also included a regular warp drive for faster-than-light propulsion.
The ships design featured polygonal windows to space in crew support compartments including the mess hall and crew quarters. Those same rooms, as well as sickbay and corridors, mirrored the window design through recessed alcoves on the wall. (DIS: "Context Is for Kings")
Main bridge and command deck Edit
The main bridge was located on deck one, with a central command chair for the commanding officer, turbolift access at the front-starboard and rear-center, and a computerized transparent window-viewscreen. Clockwise from the center command chair, the bridge stations comprised of a free-standing multi-purpose station, science, tactical, helm, operations, spore drive control, communications, and a free-standing science station. (DIS: "Context Is for Kings", "Brother")
In 2257, Captain Christopher Pike favored a ready room disconnected from the bridge. This ready room featured a more personalized decor, additional seating, and a conference table as well as a food synthesizer slot and several computer panels. (DIS: "New Eden")
Paul Stamets and his Glenn counterpart Straal operated their spore drives from engineering test bay alpha, a standard engineering workspace specially converted for that purpose. (DIS: "Context Is for Kings", "Brother")
Aboard Discovery, the engineering lab was highly classified, and required a breath print for access. Immediately off of main engineering was a cultivation bay where Paul Stamets was growing his own prototaxites stellaviatori spores. Aboard Discovery's sister ship, the USS Glenn, the engineering section was highly shielded and the hull was double reinforced, preventing transport after a spore drive disaster. (DIS: "Context Is for Kings")
Disassembly of spore drive equipment aboard the Discovery began in 2257, opening up the engineering lab with exposed conduits and machinery. Nevertheless, the spore drive was still operational. (DIS: "Brother", "New Eden")
Medical facilities Edit
Transport and cargo Edit
The shuttlebay contained a large platform, delineated by the vessel's insignia, which descended and rotated to enable access to a launch facility for landing pods. Four pods were stored there, leading to a single launch rail and exterior port. (DIS: "Brother")
Transporter systems Edit
The transporter room aboard the Crossfield-class occupied a corridor room. The back of the room was a circular alcove containing the transporter pad. The steps of the transporter glowed red when in use. (DIS: "Choose Your Pain")
Crew quarters Edit
Crew quarters of the mid-23rd century tended towards spartan, with only minimal options for customization or decoration. Aboard Discovery, senior officers may be assigned their own personal quarters, while junior officers might share quarters. (DIS: "Context Is for Kings")
Science labs Edit
Aboard Discovery, Lorca kept his own research lab containing weapons and specimens he'd collected (Harry Mudd referred to this lab as Lorca's "man cave"). Located on the lower decks of the engineering hull, this lab featured a holding cell and a window viewing starboard. (DIS: "Context Is for Kings")
Following Captain Pike's decision to move the captain's ready room to another location in 2257, the ready room attached to the bridge was converted into a science lab. Numerous pieces of scientific equipment (including a Vulcan data module) were moved into the section, the large window being separated into two ports by a a computer terminal, and a large, transparent computer interface subdividing the room. (DIS: "Point of Light")
Recreation facilities Edit
Ships commissioned Edit
(Excluding regular appearances of the USS Discovery)
Background information Edit
According to Star Trek: Discovery The Official Starships Collection, the Crossfield-class is 750.5 meters.
The Crossfield-class bears some resemblance to the B-24-CLN, which was seen at the Surplus Depot Z15 in TNG: "Unification I". Both models are based off a concept USS Enterprise study model designed by Ken Adam and Ralph McQuarrie for Star Trek: Planet of the Titans.
According to technical data prepared for the San Diego Comic Con in 2018, the ISS Discovery had 17 decks, a crew complement of 180, a maximum warp of 8, two impulse engines (approximate warp factor 0.3), and a displacement-activated spore hub drive (approximate warp factor 1431). 
The Crossfield class is a playable ship in Star Trek Online, and has a small chance of appearing when a player purchases an add-on called the “Discovery Lock Box”. The playable Crossfield comes equipped with the ability to use its spore drive to teleport the ship forward, unleashing a burst of mycelial energy that affects enemies' engines and leaving a payload of torpedoes to detonate in its wake, before teleporting back to its original position—evocative of the tactic employed by Discovery at Corvan II in "The Butcher's Knife Cares Not for the Lamb's Cry". The ability is referred to in-game as the "Lorca Manuever".