For past actions:
* Performed: "He performed the task well."
* Completed: "She completed the project on time."
* Accomplished: "They accomplished their goal."
* Executed: "The plan was executed flawlessly."
* Carried out: "The experiment was carried out by the scientists."
* Made: "They made a mistake."
* Had: "He had a great time."
* Went: "She went to the store."
* Came: "He came to the party."
* Took: "She took a nap."
* Gave: "He gave her a gift."
* Put: "She put on her coat."
For questions:
* Have you...?: "Have you finished your work?"
* Did you...?: This can also be used for questions, but it's a bit more formal.
* Have...?: "Have you seen the movie?"
* Do you remember...?: "Do you remember what we talked about?"
For emphasis:
* Actually: "He actually did a great job."
* Indeed: "She indeed did what was asked."
* In fact: "They in fact did it better than expected."
The best alternative will depend on the specific situation and the desired tone.