I have not seen the ship on screen. I remember seeing the original Excelsior appearing on screen when it first appeared on screen in the Search for Spock and hoped that it would replace the Enterprise in the next movie. Don’t get me wrong I like the Constitution class but the Excelsior class is the natural successor to the line.
Below I have generated a new starship that fits into the time and with any era.
The two noted ships USS Eureka NCC-42023 and the USS Excelsior NCC-42037. The information I used came solely from https://www.ex-astris-scientia.org. I thought about it and worked on the design and came up with the following ship.
Class and Type: Excelsior II Class Cruiser
Commissioning Date: end of the 24th century and/or the very early 25th century or there abouts
Hull Systems
Size: 7
Length: 588 meters
Beams: meters
Height: meters
Decks: 33
Mass: metric tons
SUs Available: 1500 - 2750
SUs Used: 2431
Environmental Systems
Basic Life Support [Power/round] <28>
Reserve Life Support [Power/round] <14>
Emergency Life Support (42 emergency shelters) <14>
Gravity [4 Power/round] <7>
Consumable: three years’ worth <21>
Food Replicators [7 Power/round] <7>
Industrial Replicators
Type: network of small Replicators [2 Power/round] <7>
Type: two large unit [2 Power/replicator/round] <6>
Medical Facilities: 10 (+2) [10 Power/round] <50>
Recreation Facilities: 6 (two main holodecks; ten personal holodecks; pleasant eating facilities; one large lounge; two small lounges) [12 Power/round] <48>
Personal Transport: turbolifts; Jefferies tubes [2 Power/round] <21>
Fire Suppression System [1 Power/round when active] <7>
Cargo hold: 230,000 cubic meters <7>
Locations:
Escape Pods <9>
Number: 160
Capacity: 6 persons per pod
Propulsion Systems
Warp Drive Nacelles: Type 6E9 <118>
Speed: 6.0/9.4/9.982 [1 Power/.2 warp speed]
PIS: Type I (24 hours of Maximum warp) <18>
Impulse Engine Type: Class 6 (.75c/.9c) [7/9 Power/round] <30 x 2 = 60>
Location:
Reaction Control System (.025c) [2 Power/ round when in use] <7>
Power Systems
Warp Engine Type: Class 13/S (generates 750 Power/round) <150>
Locations:
Impulse Engine[s]: Class 6 (generate 48 power/engine/round)
Auxiliary Power: 3 reactors (generate 5 Power/reactor/round) <9>
Emergency Power: Type F (generates 50 Power/round) <50>
EPS: Standard Power flow, +200 Power transfer/round <55>
Standard Usable Power:
Operations systems
Bridge: Deck one saucer section <30>
Auxiliary bridge/control room: secondary hull <15>
Saucer separation [10 power/use] <7>
Computers (bioneural)
Core: one saucer and one engineering hull [7 Power/round] <21 x 2 = 42>
Uprating Class Beta (+2) [2 power/round] <8>
ODN <21>
Sensor Systems
Long-range Sensors [5 Power/round] <54>
Range Package: Type 7 (Accuracy 3/4/7/10)
High Resolution: 5 Light-year (.5/.6-1.0/1.1-3.8/3.9-5.0)
Low Resolution: 17 Light-Years (1/1.1-6.0/6.1-13.0/13.1-17)
Strength Package: Class 10 (Strength 10)
Gain Package: Class Beta (+2)
Coverage: Standard
Lateral Sensor [5 Power/round]<26>
Strength Package: Class 10 (Strength 10)
Gain Package: Class Beta (+2)
Coverage: Standard
Navigational Sensor [5 Power/round] <24>
Strength Package: Class 10 (Strength 10)
Gain Package: Class Beta (+2)
Probes: 60 probes of varying types <6>
Sensor Skill: 4
Flight Control Systems
Autopilot: Shipboard systems (flight Control) 4, Coordination 3 [1 Power/round in use] <15>
Emitter: Class Alpha [3 power/Strength used/round] <3>
Accuracy: 5/6/8/11
Location: One in Shuttlebay
Transporters
Type: Personnel [5 Power/use] <18 x 4 = 72>
Pads: 6
Emitter/Receiver Array: Personnel Type 6 (40,000 km range)
Energizing/Transition coils: Class I (Strength 9)
Number and Locations: three in saucer section, one in engineering section
Type: Emergency [7 power/use] <18 x 4 = 72>
Pads: 22
Emitter/Receiver Array: Emergency Type 3 (15,000 km range)
Energizing/Transition Coils: Class I (Strength 9)
Number and Location: two in saucer section, two in Engineering section
Type: Cargo [4 Power/use] <14 x 4 = 56>
Pads: 400 kg
Emitter/Receiver Array: Cargo Type 3 (40,000 km range)
Energizing/Transition Coils: Class I (Strength 9)
Number and location: two in saucer, two in Engineering hull
Security Systems Rating: 3 <12>
Anti-Intruder System: Yes [1 Power/round] <7>
Internal Force Field [1 Power/3 Strength] <7>
Science Systems Rating: 3 (+2) [3 Power/round] <22>
Specialized Systems: three <15>
Laboratories: 24 <6>
Tactical Systems
Saucer phasers <35 x 2 = 70>
Type XI
Damage: 220 [22 Power]
Number of Emitters: 120 (up to 3 shots per round)
Targeting Systems: Class Gamma Accuracy 3/4/6/9
Range: 10/30,000/100,000/300,000
Location: upper and lower saucer
Firing arc: 360 degrees
Firing Modes: Standard, pulse, continuous, wide beam
Ventral Engineering section <27>
Type XI
Damage: 220 [22 Power]
Number of Emitters: 80 (up to 2 shots per round)
Targeting Systems: Class Gamma Accuracy 3/4/6/9
Range: 10/30,000/100,000/300,000
Location: ventral engineering section
Firing arc: 360 degrees
Firing Modes: Standard, pulse, continuous, wide beam
Secondary Phaser arrays <19 x 3 = 57>
Type XI
Damage: 220 [22 Power]
Number of Emitters: 40 (up to 1 shots per round)
Targeting Systems: Class Gamma Accuracy 3/4/6/9
Range: 10/30,000/100,000/300,000
Location: port and starboard nacelle support struts and stern fantail
Firing arc: 360 degrees
Firing Modes: Standard, pulse, continuous, wide beam
Forward Ventral Torpedo Launcher <19 x 3 = 57>
Standard Load: Mark I quantum torpedo (400 Damage), Type II photon torpedo (200 Damage)
Spread: 12
Range: 15/350,000/1,500,000/3,500,000
Targeting System: Accuracy 3/4/6/9
Power: [20 + 5 per torpedo fired]
Location: Forward ventral, dorsal of navigational deflector
Firing Arc: Forward, but are self-guided
Torpedoes carried: 120 <12>
Shields (Forward, Aft, Port, Starboard) <104 x 4 = 416>97 520
Shield Generator: Class 7 (Protection 1300) [130 Power/shield/round]
Shield grid: Type C (50 % increase to 1950 Protection)
Subspace Field Distortion Amplifiers: Class Iota (Threshold 430)
Recharging System: Class 1 (45 seconds)
Backup Shield Generators: 4 (1 per shield) <8>
Auto-Destruct System <7>
Auxiliary Spacecraft systems
Shuttlebay(s): Capacity for 25 Size worth of ships <50>
Standard Complement: ten Shuttlepods and five shuttlecrafts
Location(s):
Captains Yacht: none