One of the most important things that managers need is feedback from customers about the quality of the products and services their firms offer. Getting feedback from customers is now typically done via online channels including social media, instant messaging, and review websites. However, due to the massive volume, a powerful tool is required for processing the data received from various sources. Sentiment analysis is a form of NLP that can instantly determine if a user is feeling positive, negative, or neutral towards a given topic. The researcher uses topic modeling to iteratively pick a subset of topics that best describes the whole. Many studies, some using topic modeling, have been conducted on the topic of the airline business over the past few years, with the majority of them focusing on sentiment analysis in a particular area or region. This article provides a comprehensive study of the airline industry in terms of sentiment analysis and topic modeling using machine learning and deep learning techniques so that customers may learn more about the most reputable and convenient airlines in the world. In this review paper, we enlisted overall 84 articles in different years and provide a statistical analysis of 60 articles based on sentiment analysis and topic modeling focusing on different types of machine learning and deep learning. The most important tasks involved in sentiment analysis of airline industries are discussed, and it is determined that sentiment analysis may be performed on various languages. In addition, a summary of popular datasets, essential characteristics of those datasets, machine learning and deep learning models applied to those datasets, accuracy acquired from those datasets, and a comparison of different machine and deep learning models are included in the survey. The fundamental objective of this study is to draw attention to the efficacy of machine and deep learning architectures in solving issues of various airline industries involving sentiment analysis and topic modeling.