Для образования разных форм глагола play в английском языке можно использовать следующие времена и наклонения: 12

Simple Tense (простое, неопределённое время): 1

• Present Simple — простое настоящее: I play, you play, he, she plays, we play, you play, they play. 1
• Past Simple — простое прошедшее: I played, you played, he, she played, we played, you played, they played. 1
• Future Simple — простое будущее: I will play, you will play, he, she will play, we will play, you will play, they will play. 1

Continuous Tense (длительное время): 1

• Present Simple Continuous — настоящее длительное: I am playing, you are playing, he, she is playing, we are playing, you are playing, they are playing. 1
• Past Simple Continuous — прошедшее длительное: I was playing, you were playing, he, she was playing, we were playing, you were playing, they were playing. 1
• Future Simple Continuous — будущее длительное: I will be playing, you will be playing, he, she will be playing, we will be playing, you will be playing, they will be playing. 1

Perfect Tense (совершенное время): 1

• Present Perfect — настоящее совершенное: I have played, you have played, he, she has played, we have played, you have played, they have played. 1
• Past Perfect — прошедшее совершенное: I had played, you had played, he, she had played, we had played, you had played, they had played. 1
• Future Perfect — будущее совершенное: I will have played, you will have played, he, she will have played, we will have played, you will have played, they will have played. 1

Perfect Continuous Tense (длительное совершенное время): 1

• Present Perfect Continuous — настоящее совершенное длительное: I have been playing, you have been playing, he, she has been playing, we have been playing, you have been playing, they have been playing. 1
• Past Perfect Continuous — прошедшее совершенное длительное: I had been playing, you had been playing, he, she had been playing, we had been playing, you had been playing, they had been playing. 1
• Future Perfect Continuous — будущее совершенное длительное: I will have been playing, you will have been playing, he, she will have been playing, we will have been playing, you will have been playing, they will have been playing. 1

Conditional (условное наклонение): 1

• Present — условное настоящее: I would play, you would play, he, she would play, we would play, you would play, they would play. 1
• Perfect — условное совершенное: I would have played, you would have played, he, she would have played, we would have played, you would have played, they would have played. 1
• Present Continuous — условное настоящее длительное: I would be playing, you would be playing, he, she would be playing, we would be playing, you would be playing, they would be playing. 1
• Perfect Continuous — условное совершенное длительное: I would have been playing, you would have been playing, he, she would have been playing, we would have been playing, you would have been playing, they would have been playing. 1

Imperative (повелительное наклонение): 1

• you play; 1
• we play; 1
• Let's play. 1

Для изучения спряжения глагола play можно использовать, например, сайты LinguaBooster, Langroo, PROMT.One 123.