Identifying games based on memory alone is not reliable. Period. Even if the choice of games is narrowed down, there's still too many variables (not to mention the asker's own possibly incorrect memories) to accurately identify the game.
Here are two scenarios that I can think of off the top of my head where narrowing down the series doesn't help at all:
I can't remember which Mario Party game this is, I'm hoping someone can help me remember. I know you could play as Mario, Luigi, Yoshi, and a couple other characters. I also remember that there was one minigame where you had to try to escape from a bad guy, I think it was a Boo? Or maybe a Piranha Flower? And another minigame was where you had to knock people off a platform. Any ideas?
This describes almost every Mario Party game to date. The playable characters are always the standard Mario characters, plus or minus a few "guest stars". And the descriptions of the minigames can be interpreted in several ways - is "escaping" the bad guy literally running away, or does it include avoiding them as they shoot fireballs at you? Or maybe OP is remembering wrong and you're actually supposed to attack them? Who knows? (For the record, I was thinking of Mario Party 3 for this question, but it could also apply to several others.)
There was a Zelda game that I really wanted to play again, but I can't remember the name. In the game, you had to collect pieces of the Triforce so you could forge the Triforce of Courage together so you could beat the final boss (I think his name was Vaati). Some of the items you could collect included the Master Sword (of course), the hookshot, the Roc's cape, and the Book of Mudora (which unlocked a dungeon IIRC). I also remember there was some kind of floating rainbow ball that gave you a really powerful one-time-use attack when you broke it. Anyone have any idea?
This question doesn't describe any Zelda game... or, more accurately, it mixes multiple games into one. It's got elements from Minish Cap, Wind Waker, Link's Awakening, Link to the Past, and even Super Smash Bros Brawl. Again, the OP's faulty memory is to blame for this question - since we can't rely on perfectly accurate memory, we would have to guess which one they are actually asking about. On a site dedicated to providing accurate answers, guessing is a Bad Thing™.
Because memory cannot always be trusted to be accurate, we simply cannot answer these questions with a reliable degree of confidence. This is why questions like this are off-topic - unless we have a picture of the game itself, which is accurate evidence.