Agreed that amazed by everything is a pretty high bar. I think the truly amazing performances only happen when both the actor and casting director do a great job. A great actor like Ben Kingsley in a role that's not right for him turns in a mediocre performance. Hopkins has reached great heights in dramatic interpretation, but has been unimpressive in roles where he was shoehorned in to add credibility. Sean Connery had a unique charisma as Bond, but no amount of natural ability could save "The League of Extraordinary Gentlemen". Gregory Peck has permanently engraved himself in the zeitgeist, but there were still some dud performances in weaker films.
If I had to pick actors who were consistently on target more often than not. I'd say Anthony Hopkins, Morgan Freeman, Burgess Meredith, Christian Bale, Daniel Day Lewis, Jack Nicholson, Tom Hanks, Denzel Washington, Patrick Stewart, Laurence Olivier, Michael Caine, Kirk Douglas, Alec Guinness, Gary Oldman, Sigourney Weaver, Julianne Nicholson.
I see it as a simple multiplication problem. Let's say an actor's skill is a 10/10, and their fit for the role is 10/10, you could have a 100 percent performance. A 5 actor with a 5 casting could only turn in a 25 performance, etc. So there would be no one actor that was always amazing, since the casting agent changes each time, and it's the pairing of the actor and the role that produces the final result.
I do take your meaning though, and certainly some of the people listed above stood out in any role. I think the ones that really stand out in memory are actors like Lewis that select their roles very carefully. Samuel L Jackson for example IS capable of turning in an poignant dramatic performance, but it's not how he's typically perceived, because he works constantly on any project offering scale, using a quantity over quality strategy, that provides an excellent income stream and a lot of entertainment for people, but doesn't necessarily get him noticed as a talented actor.
An interesting study of how much difference casting and direction can make, one needs look no further than Mathew McCaughey and Woody Harrelson's performances in "True Detective" season 1. You have these two guys that aren't really respected for their acting chops suddenly turning in these Oscan nominated performances. So from this we can gather that to a significant degree, truly great performances are highly dependent on favorable circumstances at least partially outside the actor's control.