Poor memory & social anxiety preventing from having good conversations

I have social anxiety and very poor memory in general. So when it comes to having conversations, especially one-on-one’s, I struggle to come up with topics to talk about/keep a conversation flowing. For instance, if someone asks ‘oh have you seen any good movies/read anything interesting lately?’, I’d almost certainly blank out and nothing would come to mind. And I’d feel rather anxious/self-conscious because I’d think ‘omg he/she must find me so boring’. I find that it’s slightly better in a casual group setting as there’s less pressure on me to keep the conversation flowing and also, more often than not, someone would say something which would prompt a memory and I’d find it easier to ‘add on’ from there. Even then, I’d still struggle on occasions, especially when it comes to topics I’m unfamiliar with. I feel like my poor memory and social anxiety is preventing me from being a good conversation partner. Anyone else face this issue ? How do I overcome this problem ?