Cary,
Talking old times is nice.
I hope that the following thoughts from Ireland will entertain you .... and you can shop off the list for "top-10s" as you wish.
In Ireland we have had golf since the 1840s but our oldest surviving golf club dates from 1861 .... so they were cutting grass just when they were launching the (British) Open Championship!
We had about 90 golf clubs by 1900 but just 74 of these survive today.
Of course, many of these have moved their courses once or several times and all are changed beyond recognition.
Ireland was a reasonable power in world golf back then as it was into the game early. But, being a small country, we have been submerged for quantity but not for quality in the past century.
The Golfing Annual lists 1750 golf clubs worldwide in 1897 and 2859 golf clubs worldwide by 1903 .... so the game was agrowing fast by then.
1861- Otway
1881- Royal Belfast
1883 - Curragh
1884- Woodenbridge
1885- Dublin (now Royal Dublin)
1886- Tullamore
1888- Cork, Portrush (now Royal Portrush)
1889 - Dooks, Killymoon, Newcastle (now Royal County down)
1890- Ballycastle, Buncrana, Bushfoot, Dungannon, Island, Sutton,
1891- Fortwilliam, Limerick, North West, Portsalon
1892- Athlone, County Louth, Fermoy, Greencastle, Lahinch, Malahide, Roscrea,
1893- Ballybunion, Birr, County Armagh. Foxrock, Killarney, Lurgan, Ormeau, Rosapenna, Warrenpoint
1894- Ballinasloe. Bundoran, County Cavan, County Sligo, Greenisland, Larne, Mullingar, Portmarnock, Portstewart , Tramore
1895 - Abbeyleix , Ballinrobe, Galway. Greystones, Knock,Malone, Massereene
1896- Ardglass, Enniskillen, Greenore, Helen's Bay, Kilkee, Spanish Point, Kilkenny,Mulranny, Naas, Tipperary, Tralee,
1897- Bray, Lucan,
1898 - County Meath, Parknasilla, Youghal
1899- Carlow, Donaghadee, Rathfarnham.
Warmest regards to all from Ireland where the sun is shining, the wind is blowing and the golfers are swinging through January and waiting for the sighting of the "first American of the year!"
Pat Ruddy