Answer: The sentence that is subjunctive but not conditional is "I suggest that you finish your dinner before playing video games".
Step-by-step explanation: A sentence written in the subjunctive mood expresses a wish or an imagined situation. Therefore, unlike the indicative mood, the subjunctive mood does not present factual information, but it rather refers to an event that is not certain to happen. In the sentence "I suggest that you finish your dinner before playing video games", the speaker expresses a wish; however, nothing tells the reader that this situation will come true: it only represents something that the speaker wants to happen. Therefore, this sentence is in the subjunctive mood; however, it is not a conditional since it does not express a condition for the wish to come true. In contrast to the other sentences provided, the first sentence does not contain a conditional clause introduced by "if".