Today, I saw "Alice Through the Looking Glass". Today, I saw "Alice Through the Looking Glass".

What you've written is correct but you could also say "I watched" or "I saw the film"

It is the sequel to the film Alice in Wonderland. It is the sequel to the film Alice in Wonderland.

you could also just say "It is the sequel to Alice in Wonderland" because you have already said previously you "saw" it so your reader will know it is a film

It is the sequel to the film Alice in Wonderland. It is the sequel to the film Alice in Wonderland.

If something is a sequel, it is a 'sequel to' something else that came first.

It is the sequel to the film Alice in Wonderland. It is the sequel to the film Alice in Wonderland.

It is the sequel to the film Alice in Wonderland. It is the sequel to the film Alice in Wonderland.

I enjoyed watching the previous one, so I watched it with anticipation agains looking forward to watching this one. I enjoyed watching the previous one, so I was looking forward to watching this one.

Your sentence is entirely correct but it sounds overly formal, this is a less formal way you could say it

I enjoyed watching the previous one, so I watched it with anticipation again. I enjoyed watching the previous one, so I watched it with anticipation.

If you say 'again' it means you did that thing before and you are now doing it a second time. If this is your first time watching this film you would just say you watched with anticipation

I enjoyed watching the previous one, so I watched it with anticipation againlooked forward to watching this one. I enjoyed watching the previous one, so I looked forward to watching this one.

I enjoyed watching the previous one, so I watched it with anticipation again. I enjoyed watching the previous one, so I watched it with anticipation.

"It will be a race against Ttime" "It will be a race against time"