I'm not an expert on these openings, but I'll try to answer anyway. I'm sure stronger players will correct anything I'm wrong about.
1. About 4. ... Nxb4 in the Evan's Gambit:
After 4. ... Nxb4, black's e5 pawn is no longer protected, so white could just play 5. Nxe5, getting back the gambit pawn and double attacking the f7 pawn. I'm looking at this position and I keep looking at insane attacking possibilities for black, like 5. ... Bxf2+, 5. ... Qf6, or 5. ... Qg5 instead of the more boring and defensive 5. ... Nh6. Actually, now that I think about it, I think that Qg5 looks like the most tempting, but I don't have time for detailed analysis right now. I can see it coming out similar to Blackburne's Shilling Gambit. Unfortunately for black's attacking chances, that knight on b4 isn't in a position to help with a king side attack. At first glance, I thought white was clearly winning, but the more I think about it, the more I think that this position is weird and tactical enough that it might actually be fun to play, even if it is inferior. It's tactical enough to be dangerous for both sides.
As another option white can play the immediate 5. d4, since the d pawn will be protected twice and attacked twice. This is more forcing against 4. ... Nxb4 than it would be against 4. ... Bxb4, because the d4 pawn will attack the bishop on c5.
On the other hand, getting opponents out of their opening preparation is
sometimes enough of an advantage to make up for such weaknesses, especially at low-intermediate levels.
I just checked the 2 million game database at chesslab.com, and it looks like most of the 13 games with 4. ... Nxb4 continued 5. c3 Nc6, transposing back to a mainline of the Evan's Gambit. Blackburne played 5. 0-0 d6 6. c3 Nc6, and went on to win as white.
2. About the Ruy Lopez with 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 b5 5. Bb3:
At this point, white's bishop is attacking f7, so if black brings out his knight to f6 (or e7), white can play Ng5 as if it was the Two Knights Defense, but with the advantage of a safer bishop position.
That's why I don't play 4. ... b5 as black, anyway. I want to bring out at least one of my king side pieces before the bishop goes to that diagonal. For instance, 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. 0-0 and now b5 is safer for black. If 5. ... b5 6. Bb3 Be7 7. Ng5, then black simply castles and his f7 pawn is protected by the rook.
And no, you shouldn't take it anyway (7. ... 0-0 8. Bxf7+ Rxf7 9. Nxf7 Kxf7). Many beginners think that a rook and pawn are equal in value to a knight and bishop (5+1 = 3+3, right?), but it doesn't work out that way. I've read that the standard value of minor pieces being worth 3 pawns is off. They're worth closer to 3.25 pawns, so that makes a knight and bishop worth more than a rook and pawn. So black's ahead materially after that line, with a better position because of his developed knights and pawns giving him a space advantage.
I still usually don't play b5 that early, but at least I know that after I've played Nf6, I do have that option.
Hope this helps. Hopefully, some of the better players will add their 2 pawns worth...
--Fromper