The term native and non-native are used to refer to the speakers of language. English native speakers are believed as the best sources of English, when the other sides also believe the non-native speakers can be the best source of language especially for foreign learners. These cases attract researcher’s attention to discover more about the issues of native and non-native speakers in speaking and learning English. There are two research objectives for this research: 1. What kinds of English pronunciation they want to sound like, 2. Which speakers they prefer to be as role model for their English pronunciation. This study used qualitative research methodology especially descriptive qualitative method. This researh used interview to collect the data from the students. There were four respondents that represent the students of English Education Department of Universitas Muhammadiyah Yogyakarta batch 2016. To analize the data, this research employed open coding, axial coding and the last one was selective coding. The first findings showed that there were two kinds of English they want to sound like, first is sound like British English and the other one is sound like native English but without specific accent . Besides that, there were six criteria of good English usage mentioned by the respondents such as pronunciation, understandability, grammar, fluency, vocabularies and expression. The second finding was the role model of speaking English. There were four kinds of role model mentioned by the participants which were YouTuber, singer, teacher and friend.