Like Shell Mound said, if you look closely enough almost any season can be seen as a little weird because of its inherent quirks and oddities.
That being said, 1893 stands out to me as a particularly weird/notable season. The season had a total of 12/10/5, and has the third highest ACE for the NATL Basin (231). The first ten storms in a row all reached hurricane intensity, and the total for the season in mid October was 10/10/5. Of these 10 hurricanes, three originated on the same day (August 15th) and a whopping four were active on August 22nd- the latter which has only happened once since then (1998). The only two storms that failed to reach hurricane intensity formed late in the season- not until October 20th and November 5th. Additionally, every storm except for the final TS made a direct impact somewhere, with many notable and/or uncommon locations:
Storm 1: TS into Big Bend region of FL
Storm 2: C2 into Nicaragua/Honduras, C1 into Belize
Storm 3: C3 into Puerto Rico, Extratropical C1 into Nova Scotia
Storm 4: C1 into Long Island NY
Storm 5: C1 into Newfoundland
Storm 6: C3 into GA
Storm 7: C1 through the Azores
Storm 8: C2 into Louisiana
Storm 9: C3 into SC
Storm 10: C4 into Louisiana
Storm 11: TS into Delmarva Peninsula
While none of these are exceptionally rare events, many of the tracks are fairly uncommon- Canada saw two significant impacts (one of which was fully tropical), Long Island had one of its four directly landfalling hurricanes, the 1893 Sea Islands Hurricane continues to be the most recent major to strike the northern portion of GA’s coastline (the most recent major was in 1898 near the GA/FL border), the Azores possibly saw their strongest hurricane in the 19th century, SC had a major strike (not that uncommon, but also far from frequent), and Louisiana took a C2 and a C4 in under a month. Additionally, both the Sea Islands and Cheniere Caminada (the LA C4 hurricane) were very deadly, and resulted in over 2,000 deaths each. Also of note is how clumped the tracks are- all but three storms pass through/near three relatively small areas: SE LA, N coastal GA, and slightly W of the outer banks. The paths for the GA and SC storms even practically overlap between 27 and 31 N.