I know that this response may be late but I would like to be able to help anyone in the future that may be running into a similar issue!
Because of the specific nature of each part of a cell, memorization is really the easiest way of doing it without overcomplicating things. One of the best ways to teach parts of cells to students is to do one of two things depending on how your classroom is set up. One way is to play a Jeopardy-style game where they will be given the "answer" to the function of an organelle and they have to remember what organelle does the described function. To make this easier, they could be allowed to use a "cheat sheet" for $100 and $200 questions. Adding this accommodation may encourage students to practice more so they can get more points, but will also allow students who struggle to be involved in the class.
The second method you could use is splitting the class into two teams, plants and animals (or even more if you are wanting to include fungi, bacteria, etc.). These teams would each have to create an argument as to why their cell is better. The twist, however, would be that they could only base their argument on the organelles present in their cells. They would, of course, realize that most of the organelle are the same or very similar but if these students are the competitive types this realization would be a form of encouragement to research these cells to try to find a discernable difference.
These are only some ideas but I hope they can help!