That's because they primarily sent stealth aircraft and Tomahawks over Baghdad. They also used decoys to draw out SAM missiles, and then F-4s would strike the SAM sites directly, which over time meant that the surviving SAM launchers did not fire when targets made themselves known. However, they did do some non-stealth missions. The most well know was Package Q, which involved dozens of aircraft, and two F-16s were shot down.
The thing about the First Gulf War was that it was four months of buildup, 45 days achieving air superiority, and about 100 hours of a ground war. It was well planned, and involved a collation of of forces that shared a common purpose and common goal. The allied coalition made sure to get their intelligence correct and worked hard to disassemble the Iraqi defenses before sending the armed forces into real danger.
The current conflict involved Donald Trump thinking that Iran, a nation of 93 million people with a relatively healthy economy (at least at the national and regime level, which can sell a lot of petroleum), was going to put up the same kind of fight that Iraq did, then a nation of 18 million with old tech, or like Venezuela did, a nation of perhaps 30 million today, that has faced extended total economic collapse, hyper inflation, and a mass exodus of something like a quarter of the population over the past 6-10 years. There was virtually no planning, with initial action going off of intelligence of where Khomeini would be and just jumping at that.
We've got an administration run by a narcissist that has surrounded himself with sycophants and bottom feeders. He's pissed off every ally we have, acted prematurely as the aggressor with an assassination strike, and now doesn't have the resources to protect the strategic assets in the region let alone convince Iran that the conflict needs to end in our favor. Just a ridiculous number of unforced errors. A complete embarrassment.