Absolutely any of these items can be personalized.  For example, I've often personalized the platters with the names and wedding date of a bridal couple for a unique wedding gift! 
 
Choose a pattern:

Lavenderware(tm)

Vine (blue or pink)

 Grapevine

 
Choose an item:

 
Lavenderware platter & bowl
16" platter
10x2" bowl
Lavenderware plate & mug
11" plate
Tankard mug
Lavenderware wine cooler & glasses
Wine cooler/vase
wine glasses
Lavenderware vase & round box
Box shaped vase
5" covered box
Lavenderware large fluted bowl
X" ruffled bowl
Lavenderware large rimmed bowl
X" large rimmed bowl
Lavenderware frame
Frame for 5x7

16" platter
Lightswitch (more styles available)