Opt-out of being displayed on Bits & Gift Subs* Leaderboards (Channel Specific & Twitch-wide)
*Under Settings > Security and Privacy > "Hide Progressive Gifter Badge and Gifts Given Count" it's possible to be removed from Gift Subs leaderboards across Twitch - however, there isn't a way to be removed from a leaderboard in one specific channel.
At the moment, it isn't possible to be removed from Bits leaderboards at all.
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{Q&A}
Q: "Why not just be Anon?"
A: It's nice to receive a direct "Thank you" from a streamer. But I don't want to be compared with others on a leaderboard.
Q: "If leaderboards could be hidden on a viewer level, either Channel specific and/or Twitch-wide, could that be a possible solution?"
A: Certainly. If all options could be implemented, that'd be even better.

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Meekachuwu commented
I'd like to get the attention for that stream, but for my interactions (subs, bits, and chats) to be erased from history (hidden from leaderboards and clip/vod chat history). I value my privacy and would be more willing to sub, gift, and/or cheer if the history wasn't public.