You may ask 'Dochira-sama deshou ka.'
'Doushite pachinko ga suki janai deshou ka.'
'Sochira mo nihonjin deshou ka.' 'Anata mo nihon no kata deshou ka.'
You may say "Shashin [wo] totte ii/yoroshii desu/deshou ka."
'Koko de kore wo yarimashite tanoshii deshou ka?'.
'Ofuro ga tanoshikute kiraku dakara mesu deshou?'.
"Iru deshou?" means "S/He's there, isn't s/he?"
"It's quite small, isn't it?"
You may say 'onamae wa nan desu/deshou ka,' written: お名前は何です/でしょうか
"Tadashii desu" pronounced tah-dah-shee dess.
Making suggestions in Japanese can be accomplished with a number of grammatical forms. A simple and direct way is the following: "~something ha dou [desu/deshou ka]" means "how about ~something?"
You may say 'sensei,' or 'watashi no sensei,' written (in that order): 先生  私の先生