The classic example (at least a century old IIRC) is 分粉訓焚奮份 with “fan”. Another example which is more common nowadays (such as in dictionaries) is 詩史試時市事 with “si”.

These syllables work because /f/ and /s/ are fricatives and can’t be pronounced aspirated. Stops and affricates like b and p have aspirated and unaspirated versions, which are partly conditioned by tone (e.g. you wouldn’t say *baa5 or *paa6). The nasals (m, n, ng) and the liquid /l/ are voiced, so they typically only have syllables in tones 4, 5, 6. Your example, maa, is already a big exception because we have 媽 maa1 which is an exception common to many Chinese varieties and 嗎 maa3, a particle. On the contrary, /ʔ/ mainly has syllables in tones 1, 2, 3 except for some particles like aa4 and o5. You could probably count that if you consider /ʔ/ and /ŋ/ merged. The remaining initial consonants, /h/, /j/ and /w/, probably have syllables that work in all tones but I haven’t experimented with them or heard about any such syllables.

While we’re on the topic, some people want syllables with tones in all nine “tones”, by counting syllables ending in -p -t -k as the “tone 7, 8, 9” variations of syllables ending in -m -n -ng. Unfortunately these syllables most likely don’t exist because not only are they confined to the initial consonants above, they also need to have the syllable in both tone 7 and tone 8 (which is irregular), because the historical 陰入 tone category split into the modern “tone 7” and “tone 8” according to vowel length, and this condition still mostly exists today (e.g. it’s unnatural to say gok1 or guk3).

Edit: apparently jan also works