Several have mentioned QB's from the 2004 draft (notably Rivers and Roethlisberger). We weren't in a position to take either guy that year (We picked after they were long off the board) and took Vernon Carey (great pick lol).
I admit I wanted Quinn in 2007. I was a big Ron Powlus fan at Notre Dame (I was in high school when he was finishing his Notre Dame career) and wanted him (I know, I know). I was hoping we could have ended up with the number one overall in 2012 (and taken Luck). I predicted that year we would finish 2-14 (beating the Jets and Patriots ). Obviously I was wrong. I didn't hate the Tannehill pick.
I've never been a Drew Brees fan. I can't put my finger on it as I have no reason to dislike him (great player, great character guy). I didn't care for him at Purdue either. I'm a wrestling fan and to me, Brees is Chris Benoit (without then double murder suicide thing). I never cared about Benoit. I knew he was great in the ring. I just didn't care about him at all. That's how I feel about Brees.
Most recently, I wanted Sam Darnold or Josh Allen (the two QB's I did not want in that draft were Mayfield and Rosen). However, the 2018 draft was a lot like the 2004 draft. We weren't in a position to take one of the top QB's.
I wanted Chad Pennington in 2000 but we didn't have an early pick that year (no first or second round picks if I recall correctly). The 1999 NFL draft was the first draft I watched live (freshman year of college and the first time I had cable). I loved Cade McNown, Tim Couch, and Daunte Culpepper in that draft. We had no first round picks that year.
I wanted Stafford in 2009 and felt like we missed out by a year (ironically, even if our 1-15 campaign had come in 2008 instead of 2009, we would have only picked second). In hindsight, I am still a Stafford fan but that 2008 season was as magical a season in some ways (if being a one-and-done wildcard can be called "magical"). I was a big Chad Pennington fan before that season. I'm a huge fan now.