Glasses-free　three-dimensional　(3D)　displays　are　being　regarded　as　the　key　to　the　future　of　display　that　will　redefine　the　display　industry.　Inspired　by　the　curved　screen,　liquid　crystal　micro-lens　arrays　(LC　MLAs)　on　flexible　PET　substrate　with　a　radius　of　curvature　of　5　cm　was　achieved.　For　demonstration,　an　integral　imaging-based　2D/3D　convertible　display　system　is　proposed　by　using　the　flexible　LC　MLAs　(FLC　MLAs)　to　switch　its　operation　mode　between　2D　and　3D　modes.　When　the　FLC　MLAs　with　an　applied　voltage　are　in　the　system,　the　prototype　renders　a　matched　3D　image　and　works　in　3D　mode.　When　the　FLC　MLAs　do　not　have　an　applied　voltage,　the　FLC　MLAs　are　equivalent　to　glass,　and　the　display　system　works　in　2D　mode.　In　addition,　we　also　demonstrated　that　the　FLC　MLAs　have　a　wider　viewing　angle　than　the　flat　integral　imaging　3D　display　system.　The　depth　of　field　ranges　from　6.78　to　210.12　mm　under　low　operating　voltages　of　3.4　to　3.1　Vrms,　respectively.　With　its　low　voltage,　thin　structure,　and　adjustable　focal　length　form　factors,　the　developed　display　system　can　be　integrated　with　off-the-shelf　purchased　flat　panels,　making　it　a　promising　option　for　portable　electronics.