It looks like a dated 60's vision of the future. That's part of the charm of Star Trek, IMO. Randomly blinking coloured squares for control panels and pictures hung up around the bridge masquerading as display screens.
But Star Trek: Enterprise
did something very clever in "In a Mirror, Darkly" - they had the mirror NX-01 crew amazed at the bridge of the USS Defiant (which after vanishing in "The Tholian Web" somehow ended up in the past of the mirror universe) and how futuristic it looked. They treated the look of TOS as if it was technology meeting art, it's seeming cheesyness the whim of it's designer rather than the result of any limitations of 23rd century tech.