Rab Vapour Rise clothing works very well. Soft brushed interior so good comfort for wearing without layer underneath, but can be supplemented with a synthetic T shirt under for colder conditions. Unless you want to spend ages fighting your arms in, stick just to a T shirt and avoid a long sleeved base layer.
Have used (three) jackets for Scottish winter mountaineering and mountain biking over several years. Provide good comfort level and surprisingly warm for aerobic activities. Not bike specific but the more recent Alpine Lite (?) one is nice enough cut on the bike.
Technically a soft shell of a type but more versatile 🙂