Nostalgia (noun): English Meaning - A feeling of pleasure and also slight sadness when you think about things that happened in the past. Bangla Meaning - গৃহকাতরতা; অতীতবিধুরতা।
Other options, Nostalgic (adjective) - গৃহকাতর; অতীতস্মৃতিবিধুর। Nostalgical - কোনো শব্দ নেই। Nostalgically (adverb) - স্মৃতিবিধুরভাবে।
Source: 1. Cambridge Dictionary. 2. Accessible Dictionary by Bangla Academy.