I don’t know how many of foreigners in Taipei know about free health check provided by Taipei health center. The facebook if of Songshan district, but actually I am in Neihu and my wife received a notice last month, not me. There are similar activities in all districts. Google 台北市社區健康篩檢活動 and you will find info, only it seems in Chinese. Age limitations apply: general checkup for older than 40. Anyhow, it is free. Just take your ARC and 健保卡 with you. I will go for one 社區健康篩檢 tomorrow.
The result of google search 台北市社區健康篩檢活動 shows that this is done by health centers of each district, in other words, not a concerted effort of entire Taipei city. It might be the reason that I cannot find this info in English and I did not have receieve a notice.