Broken Sword: Circle of Blood

Good job, Becky

Thanks Shany!

Clue 1 -- Refers to one word in the title of this adventure.

Topologically transitive, or a kindergarten class with a novice substitute teacher

Simon 4: Chaos happens.

That's it! Over to you, Bernard.

Becky, I like my burger being served with the most unhealthy ingredients from all the major food groups!

Warning: the video clip linked to the clue contains elements that might be shocking to some of you!

When the Lady Smiles.

Time for another clue.

clue 2

Nancy Drew: The Phantom of Venice?

I'll have a guess at Discworld Noir?

My excuses for being so sluggish with my responses, I have a lot on my mind at the moment.
No good answer yet.

She moves in mysterious ways.

There's a game named 'Becky'?

EDIT: Actually, there is one! Diva X: Rebecca

Ana

Actually Ana, the last clue was inspired by your avatar!
Have a look at this clip.

Ana -- that must be my evil twin.

A character who sparkles when she moves? I'm guessing Everlight. A character who generates lightning when she moves? Hmmm. That's more difficult.

Am I totally off-base as usual?

Rhiannon?

The clip isn't important Becky. Sorry Chrissie, not Rhiannon.
Just looked back and noticed this game has already been used recently.

Bat out of Hell.

I have two ideas for this so I'll go with one, though I don't see it recently used (maybe I missed it?).

A Vampyre Story

I missed it too Becky. A Vampyre Story it is. I'm curious what other game you had in mind.

There's a banshee in Simon the Sorcerer 4 who seems to elicit lightning strikes when she answers the door and speaks (not to mention other side effects mentioned in conversations).

Clue 1: (About a character in this game). Femme fatale -- black wig?

Broken Sword 3: Sleeping Dragon?

No, but good guess. Something about our femme fatale recalls a broomstick, but she's not supposed to be a witch.

Just a bump as I haven't got a clue!

The femme fatale's alter ego is as cute as a button.

Pepper's Adventures in Time?

A much more recent game than Pepper's.

Our femme fatale has a role similar to the "Mystery Woman" played by Carrie Fisher in the movie: "The Blues Brothers." Except that this femme fatale shows up in advance of the roué/cad, rather than trailing him.