I am relatively new to VF and am having trouble creating a custom picklist.  We created a page layout using VF and wanted to create a Record Type custom picklist, not using the standard picklist functionality.  I can't seem to get the code right, see below.  I have created an extention to try to create the custom list.

<apex:page standardController="Sharing_ES__c" extensions="RecordTypeExtension">
  <apex:form >
    <apex:sectionHeader title="{!$ObjectType.Sharing_ES__c.label}" subtitle="{!Sharing_ES__c.name}"/>
    <apex:pageBlock title="{!$ObjectType.Sharing_ES__c.label} Detail" mode="edit">
        <apex:pageBlockButtons >
      
            <apex:commandButton action="{!save}" value="Save"/>
            <apex:commandButton action="{!edit}" value="Edit"/>
            <apex:commandButton action="{!delete}" value="Delete"/> 
            
        </apex:pageBlockButtons>
        <apex:pageBlockSection showHeader="false" columns="2">
            <apex:inputField value="{!Sharing_ES__c.Name}"/>
            <apex:pageBlockSectionItem >
                <apex:outputLabel value="Custom Sharing Owner"/>
                <apex:outputPanel >
                    <apex:inputField value="{!Sharing_ES__c.OwnerId}"/>&nbsp;
                    <apex:outputLink value="{!URLFOR($Action.Sharing_ES__c.ChangeOwner,Sharing_ES__c.id)}">[Change]</apex:outputLink>
                </apex:outputPanel>
            </apex:pageBlockSectionItem>
       
            <apex:inputField value="{!Sharing_ES__c.Sharing_Type__c}"/>
            <apex:inputField value="{!Sharing_ES__c.Account__c}"/>
            <apex:inputField value="{!Sharing_ES__c.Access_Type__c}"/>
            <apex:inputField value="{!Sharing_ES__c.Description__c}"/>
            <apex:inputField value="{!Sharing_ES__c.User__c}"/>
            <apex:inputField value="{!Sharing_ES__c.Group__c}"/>
            <apex:pageBlockSectionItem />


<apex:pageBlockSection columns="1" showHeader="false">
                <apex:pageBlockSectionItem >
                    <apex:outputLabel value="RecordType" for="rtp"></apex:outputLabel>
                    <apex:selectList id="rtp" value="{!recordtype.id}" size="1" title="RecordType">
                        <apex:selectOptions value="{!rtp}"></apex:selectOptions>
                    </apex:selectList>
                </apex:pageBlockSectionItem>
            </apex:pageBlockSection>

        </apex:pageBlockSection>
        <apex:pageBlockSection showHeader="false" columns="2">
            <apex:inputField value="{!Sharing_ES__c.CreatedById}"/>
            <apex:inputField value="{!Sharing_ES__c.LastModifiedById}"/>
        </apex:pageBlockSection>
        <apex:pageBlockSection showHeader="true" title="Custom Links" columns="3"> 
     </apex:pageBlockSection>
    
   </apex:pageBlock>
   </apex:form> 
 </apex:page>

And here is our Extension

public class RecordTypeExtension {
    private final RecordType r; //RecordType sObject
    
    //initializes the private member variable r by using the getRecord method from the standard controller
    public RecordTypeExtension(ApexPages.StandardController stdController) {
        this.r = (RecordType)stdController.getRecord();
    }
    
    //builds a picklist of Record Types for the SFL5_Project__c object
    public List<selectOption> getRecordType() {
        List<selectOption> options = new List<selectOption>(); //new list for holding all of the picklist options
        options.add(new selectOption('', '- None -')); //add the first option of '- None -' in case the user doesn't want to select a value or in case no values are returned from query below	
        for (RecordType rtp : [SELECT Id, Name FROM RecordType where SobjectType = 'SFL5_Projects__c']) { //query for Record Types
            options.add(new selectOption(rtp.ID, rtp.Name)); //for all records found - add them to the picklist options
        }
        return options; //return the picklist options
    }
}

 Thanks!